LMFDB - Elliptic curves over $\Q$ of conductor 232050

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Conductor	Discriminant	j-invariant	Rank

Bad$\ p$	Curves per isogeny class	Complex multiplication	Torsion

Isogeny class degree	Cyclic isogeny degree	Isogeny class size	Integral points

Analytic order of Ш	$p\ $div$\ $\|Ш\|	Regulator	Reduction	Faltings height

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Nonmax$\ \ell$	$abc$ quality	Szpiro ratio

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Results (1-50 of 405 matches)

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Label	Cremona label	Class	Cremona class	Class size	Class degree	Conductor	Discriminant	Rank	Torsion	$\textrm{End}^0(E_{\overline\Q})$	Sato-Tate	Nonmax $\ell$	$\ell$-adic images	mod-$\ell$ images	Adelic level	Adelic index	Adelic genus	Regulator	$Ш_{\textrm{an}}$	Ш primes	Integral points	Modular degree	Faltings height	j-invariant	$abc$ quality	Szpiro ratio	Weierstrass coefficients	Weierstrass equation	mod-$m$ images	MW-generators
232050.a1	232050a2	232050.a	232050a	$2$	$2$	$ 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \cdot 17 $	$ 2^{11} \cdot 3 \cdot 5^{9} \cdot 7^{10} \cdot 13^{6} \cdot 17^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$10920$	$12$	$0$	$1$	$1$		$0$	$263577600$	$4.083206$	$72842281646368517444345813/2420970869326709446656$	$1.00024$	$5.99248$	$[1, 1, 0, -1087585200, -13403376096000]$	$y^2+xy=x^3+x^2-1087585200x-13403376096000$	2.3.0.a.1, 120.6.0.?, 1820.6.0.?, 2184.6.0.?, 10920.12.0.?	$[]$
232050.a2	232050a1	232050.a	232050a	$2$	$2$	$ 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \cdot 17 $	$ - 2^{22} \cdot 3^{2} \cdot 5^{9} \cdot 7^{5} \cdot 13^{3} \cdot 17^{4} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$10920$	$12$	$0$	$1$	$1$		$1$	$131788800$	$3.736637$	$617408745689497165867/116417523517357031424$	$1.01769$	$5.51533$	$[1, 1, 0, 22174800, -724368096000]$	$y^2+xy=x^3+x^2+22174800x-724368096000$	2.3.0.a.1, 120.6.0.?, 910.6.0.?, 2184.6.0.?, 10920.12.0.?	$[]$
232050.b1	232050b1	232050.b	232050b	$2$	$3$	$ 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \cdot 17 $	$ - 2^{15} \cdot 3^{9} \cdot 5^{10} \cdot 7^{4} \cdot 13^{3} \cdot 17^{2} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.4.0.1	3B	$1560$	$16$	$0$	$1$	$1$		$0$	$111974400$	$3.618023$	$-112401674281331662890625/983243959823204352$	$1.04735$	$5.59995$	$[1, 1, 0, -214906575, 1221655177125]$	$y^2+xy=x^3+x^2-214906575x+1221655177125$	3.4.0.a.1, 15.8.0-3.a.1.2, 312.8.0.?, 1560.16.0.?	$[]$
232050.b2	232050b2	232050.b	232050b	$2$	$3$	$ 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \cdot 17 $	$ - 2^{5} \cdot 3^{3} \cdot 5^{10} \cdot 7^{12} \cdot 13 \cdot 17^{6} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.4.0.1	3B	$1560$	$16$	$0$	$1$	$1$		$0$	$335923200$	$4.167328$	$3294314317483299337109375/3752555319260703472608$	$1.06823$	$5.87214$	$[1, 1, 0, 662593425, 6460365277125]$	$y^2+xy=x^3+x^2+662593425x+6460365277125$	3.4.0.a.1, 15.8.0-3.a.1.1, 312.8.0.?, 1560.16.0.?	$[]$
232050.c1	232050c4	232050.c	232050c	$4$	$4$	$ 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \cdot 17 $	$ 2^{5} \cdot 3^{4} \cdot 5^{7} \cdot 7^{4} \cdot 13^{8} \cdot 17 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.7	2B	$4760$	$48$	$0$	$1$	$4$	$2$	$0$	$23592960$	$3.070923$	$193114674074930522660929/431512023674178720$	$0.96740$	$5.12146$	$[1, 1, 0, -30104900, -63467250000]$	$y^2+xy=x^3+x^2-30104900x-63467250000$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 280.24.0.?, 340.12.0.?, $\ldots$	$[]$
232050.c2	232050c3	232050.c	232050c	$4$	$4$	$ 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \cdot 17 $	$ 2^{5} \cdot 3^{16} \cdot 5^{7} \cdot 7 \cdot 13^{2} \cdot 17^{4} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.8	2B	$4760$	$48$	$0$	$1$	$1$		$0$	$23592960$	$3.070923$	$127657176479121674968129/680519365348848480$	$0.96599$	$5.08796$	$[1, 1, 0, -26224900, 51441910000]$	$y^2+xy=x^3+x^2-26224900x+51441910000$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 140.12.0.?, 280.24.0.?, $\ldots$	$[]$
232050.c3	232050c2	232050.c	232050c	$4$	$4$	$ 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \cdot 17 $	$ 2^{10} \cdot 3^{8} \cdot 5^{8} \cdot 7^{2} \cdot 13^{4} \cdot 17^{2} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.1	2Cs	$4760$	$48$	$0$	$1$	$1$		$2$	$11796480$	$2.724350$	$119430503535631998529/67932458958873600$	$0.97870$	$4.52345$	$[1, 1, 0, -2564900, -207870000]$	$y^2+xy=x^3+x^2-2564900x-207870000$	2.6.0.a.1, 8.12.0-2.a.1.1, 140.12.0.?, 280.24.0.?, 340.12.0.?, $\ldots$	$[]$
232050.c4	232050c1	232050.c	232050c	$4$	$4$	$ 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \cdot 17 $	$ - 2^{20} \cdot 3^{4} \cdot 5^{10} \cdot 7 \cdot 13^{2} \cdot 17 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.12	2B	$4760$	$48$	$0$	$1$	$1$		$1$	$5898240$	$2.377777$	$1813130050398593471/1067575541760000$	$0.96122$	$4.18449$	$[1, 1, 0, 635100, -25470000]$	$y^2+xy=x^3+x^2+635100x-25470000$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 140.12.0.?, 238.6.0.?, $\ldots$	$[]$
232050.d1	232050d1	232050.d	232050d	$2$	$2$	$ 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \cdot 17 $	$ 2^{2} \cdot 3 \cdot 5^{13} \cdot 7 \cdot 13^{2} \cdot 17 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$185640$	$12$	$0$	$1$	$1$		$1$	$8257536$	$2.509724$	$21694782785921498399329/18854062500$	$0.95946$	$4.94451$	$[1, 1, 0, -14526150, 21303480000]$	$y^2+xy=x^3+x^2-14526150x+21303480000$	2.3.0.a.1, 104.6.0.?, 3570.6.0.?, 185640.12.0.?	$[]$
232050.d2	232050d2	232050.d	232050d	$2$	$2$	$ 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \cdot 17 $	$ - 2 \cdot 3^{2} \cdot 5^{20} \cdot 7^{2} \cdot 13 \cdot 17^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$185640$	$12$	$0$	$1$	$1$		$0$	$16515072$	$2.856297$	$-21680224434060981542209/20225061035156250$	$0.95947$	$4.94459$	$[1, 1, 0, -14522900, 21313493250]$	$y^2+xy=x^3+x^2-14522900x+21313493250$	2.3.0.a.1, 104.6.0.?, 7140.6.0.?, 185640.12.0.?	$[]$
232050.e1	232050e1	232050.e	232050e	$2$	$2$	$ 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \cdot 17 $	$ 2^{6} \cdot 3^{3} \cdot 5^{7} \cdot 7 \cdot 13^{2} \cdot 17 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$185640$	$12$	$0$	$2.523781667$	$1$		$5$	$663552$	$1.139494$	$2986606123201/173759040$	$0.82949$	$3.10665$	$[1, 1, 0, -7500, 234000]$	$y^2+xy=x^3+x^2-7500x+234000$	2.3.0.a.1, 104.6.0.?, 3570.6.0.?, 185640.12.0.?	$[(65, 130)]$
232050.e2	232050e2	232050.e	232050e	$2$	$2$	$ 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \cdot 17 $	$ - 2^{3} \cdot 3^{6} \cdot 5^{8} \cdot 7^{2} \cdot 13 \cdot 17^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$185640$	$12$	$0$	$1.261890833$	$1$		$6$	$1327104$	$1.486067$	$1177249106879/26840759400$	$0.88069$	$3.32657$	$[1, 1, 0, 5500, 975000]$	$y^2+xy=x^3+x^2+5500x+975000$	2.3.0.a.1, 104.6.0.?, 7140.6.0.?, 185640.12.0.?	$[(25, 1050)]$
232050.f1	232050f1	232050.f	232050f	$1$	$1$	$ 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \cdot 17 $	$ - 2^{5} \cdot 3^{4} \cdot 5^{10} \cdot 7^{3} \cdot 13^{2} \cdot 17 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$952$	$2$	$0$	$4.964815761$	$1$		$2$	$2188800$	$1.833220$	$2560938470975/2554257888$	$0.87382$	$3.61528$	$[1, 1, 0, 60925, -4897875]$	$y^2+xy=x^3+x^2+60925x-4897875$	952.2.0.?	$[(1421, 53636)]$
232050.g1	232050g1	232050.g	232050g	$1$	$1$	$ 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \cdot 17 $	$ - 2^{4} \cdot 3^{11} \cdot 5^{10} \cdot 7 \cdot 13^{6} \cdot 17 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$1428$	$2$	$0$	$8.970589315$	$1$		$0$	$33580800$	$3.213455$	$-3299590982040491993425/1628024213389392$	$0.97226$	$5.31322$	$[1, 1, 0, -66294700, -207878276000]$	$y^2+xy=x^3+x^2-66294700x-207878276000$	1428.2.0.?	$[(91096/3, 10602760/3)]$
232050.h1	232050h1	232050.h	232050h	$2$	$3$	$ 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \cdot 17 $	$ - 2^{3} \cdot 3^{3} \cdot 5^{2} \cdot 7^{2} \cdot 13^{3} \cdot 17^{6} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.4.0.1	3B	$1560$	$16$	$0$	$1.856075855$	$1$		$2$	$2737152$	$1.923475$	$-65418731364998335585/561272050560312$	$0.94617$	$3.95484$	$[1, 1, 0, -245455, 47050045]$	$y^2+xy=x^3+x^2-245455x+47050045$	3.4.0.a.1, 15.8.0-3.a.1.2, 312.8.0.?, 1560.16.0.?	$[(509, 7115)]$
232050.h2	232050h2	232050.h	232050h	$2$	$3$	$ 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \cdot 17 $	$ - 2 \cdot 3 \cdot 5^{2} \cdot 7^{6} \cdot 13^{9} \cdot 17^{2} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.4.0.1	3B	$1560$	$16$	$0$	$5.568227567$	$1$		$2$	$8211456$	$2.472782$	$1878168045991367697215/2163353566836889518$	$1.03313$	$4.22539$	$[1, 1, 0, 751595, 249902035]$	$y^2+xy=x^3+x^2+751595x+249902035$	3.4.0.a.1, 15.8.0-3.a.1.1, 312.8.0.?, 1560.16.0.?	$[(-1, 15785)]$
232050.i1	232050i4	232050.i	232050i	$4$	$4$	$ 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \cdot 17 $	$ 2^{5} \cdot 3^{16} \cdot 5^{10} \cdot 7^{8} \cdot 13 \cdot 17 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$8840$	$48$	$0$	$12.12983041$	$4$	$2$	$0$	$94371840$	$3.776585$	$1510081109246106278113639681/1096848548782442820000$	$0.99500$	$5.84705$	$[1, 1, 0, -597538000, -5618791700000]$	$y^2+xy=x^3+x^2-597538000x-5618791700000$	2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.5, 104.12.0.?, 136.12.0.?, $\ldots$	$[(700805/4, 461175965/4)]$
232050.i2	232050i2	232050.i	232050i	$4$	$4$	$ 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \cdot 17 $	$ 2^{10} \cdot 3^{8} \cdot 5^{14} \cdot 7^{4} \cdot 13^{2} \cdot 17^{2} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.6.0.1	2Cs	$8840$	$48$	$0$	$6.064915209$	$1$		$4$	$47185920$	$3.430012$	$646607877029383283239681/307756147280400000000$	$0.98662$	$5.21928$	$[1, 1, 0, -45038000, -49039200000]$	$y^2+xy=x^3+x^2-45038000x-49039200000$	2.6.0.a.1, 20.12.0-2.a.1.1, 68.12.0.b.1, 104.12.0.?, 340.24.0.?, $\ldots$	$[(40480, 8008560)]$
232050.i3	232050i1	232050.i	232050i	$4$	$4$	$ 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \cdot 17 $	$ 2^{20} \cdot 3^{4} \cdot 5^{10} \cdot 7^{2} \cdot 13^{4} \cdot 17 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$8840$	$48$	$0$	$3.032457604$	$1$		$3$	$23592960$	$3.083435$	$90758083644559925717761/1262941865902080000$	$1.00907$	$5.06035$	$[1, 1, 0, -23406000, 43048224000]$	$y^2+xy=x^3+x^2-23406000x+43048224000$	2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 34.6.0.a.1, 68.12.0.g.1, $\ldots$	$[(-1056, 258576)]$
232050.i4	232050i3	232050.i	232050i	$4$	$4$	$ 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \cdot 17 $	$ - 2^{5} \cdot 3^{4} \cdot 5^{22} \cdot 7^{2} \cdot 13 \cdot 17^{4} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$8840$	$48$	$0$	$12.12983041$	$1$		$0$	$94371840$	$3.776585$	$29731073538607839137375999/21042153500976562500000$	$0.99970$	$5.52914$	$[1, 1, 0, 161350000, -372449196000]$	$y^2+xy=x^3+x^2+161350000x-372449196000$	2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 104.12.0.?, 136.12.0.?, $\ldots$	$[(157951/2, 65604483/2)]$
232050.j1	232050j2	232050.j	232050j	$2$	$2$	$ 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \cdot 17 $	$ 2 \cdot 3^{2} \cdot 5^{9} \cdot 7^{2} \cdot 13^{6} \cdot 17 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$61880$	$12$	$0$	$1$	$1$		$0$	$3317760$	$1.997026$	$249535348381493/72373174146$	$0.89071$	$3.85566$	$[1, 1, 0, -163950, -18114750]$	$y^2+xy=x^3+x^2-163950x-18114750$	2.3.0.a.1, 680.6.0.?, 1820.6.0.?, 12376.6.0.?, 61880.12.0.?	$[]$
232050.j2	232050j1	232050.j	232050j	$2$	$2$	$ 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \cdot 17 $	$ - 2^{2} \cdot 3^{4} \cdot 5^{9} \cdot 7 \cdot 13^{3} \cdot 17^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$61880$	$12$	$0$	$1$	$1$		$1$	$1658880$	$1.650454$	$1152011348587/1440028044$	$0.86079$	$3.43237$	$[1, 1, 0, 27300, -1858500]$	$y^2+xy=x^3+x^2+27300x-1858500$	2.3.0.a.1, 680.6.0.?, 910.6.0.?, 12376.6.0.?, 61880.12.0.?	$[]$
232050.k1	232050k3	232050.k	232050k	$4$	$6$	$ 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \cdot 17 $	$ 2^{6} \cdot 3 \cdot 5^{9} \cdot 7 \cdot 13^{6} \cdot 17^{3} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$185640$	$96$	$1$	$1$	$1$		$1$	$11943936$	$2.685867$	$2007723977307892862929/3983970919656000$	$0.95024$	$4.75187$	$[1, 1, 0, -6570525, -6474199875]$	$y^2+xy=x^3+x^2-6570525x-6474199875$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 15.8.0-3.a.1.1, 30.24.0-6.a.1.1, $\ldots$	$[]$
232050.k2	232050k4	232050.k	232050k	$4$	$6$	$ 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \cdot 17 $	$ - 2^{3} \cdot 3^{2} \cdot 5^{12} \cdot 7^{2} \cdot 13^{3} \cdot 17^{6} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$185640$	$96$	$1$	$1$	$1$		$0$	$23887872$	$3.032440$	$-592104935864247977809/2923291930001625000$	$0.96818$	$4.83552$	$[1, 1, 0, -4373525, -10870396875]$	$y^2+xy=x^3+x^2-4373525x-10870396875$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 15.8.0-3.a.1.1, 30.24.0-6.a.1.1, $\ldots$	$[]$
232050.k3	232050k1	232050.k	232050k	$4$	$6$	$ 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \cdot 17 $	$ 2^{18} \cdot 3^{3} \cdot 5^{7} \cdot 7^{3} \cdot 13^{2} \cdot 17 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$185640$	$96$	$1$	$1$	$1$		$1$	$3981312$	$2.136559$	$315388749557922769/34874134364160$	$0.91126$	$4.04293$	$[1, 1, 0, -354525, 72928125]$	$y^2+xy=x^3+x^2-354525x+72928125$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 15.8.0-3.a.1.2, 30.24.0-6.a.1.2, $\ldots$	$[]$
232050.k4	232050k2	232050.k	232050k	$4$	$6$	$ 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \cdot 17 $	$ - 2^{9} \cdot 3^{6} \cdot 5^{8} \cdot 7^{6} \cdot 13 \cdot 17^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$185640$	$96$	$1$	$1$	$1$		$0$	$7962624$	$2.483135$	$770467239466312751/4124458452441600$	$0.94121$	$4.28603$	$[1, 1, 0, 477475, 364960125]$	$y^2+xy=x^3+x^2+477475x+364960125$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 15.8.0-3.a.1.2, 30.24.0-6.a.1.2, $\ldots$	$[]$
232050.l1	232050l3	232050.l	232050l	$4$	$4$	$ 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \cdot 17 $	$ 2^{5} \cdot 3 \cdot 5^{7} \cdot 7^{4} \cdot 13^{2} \cdot 17^{8} $	$2$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$840$	$48$	$0$	$19.00065337$	$1$		$6$	$23592960$	$3.024303$	$15362574899903971015249/1358662138117021920$	$0.95965$	$4.91657$	$[1, 1, 0, -12947525, 16499590125]$	$y^2+xy=x^3+x^2-12947525x+16499590125$	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 40.12.0-4.c.1.2, 56.12.0.bb.1, $\ldots$	$[(5295, 307890), (4021, 169661)]$
232050.l2	232050l2	232050.l	232050l	$4$	$4$	$ 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \cdot 17 $	$ 2^{10} \cdot 3^{2} \cdot 5^{8} \cdot 7^{2} \cdot 13^{4} \cdot 17^{4} $	$2$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.6.0.1	2Cs	$840$	$48$	$0$	$4.750163343$	$1$		$24$	$11796480$	$2.677727$	$156629955438678688849/26930700465177600$	$0.94284$	$4.54540$	$[1, 1, 0, -2807525, -1519189875]$	$y^2+xy=x^3+x^2-2807525x-1519189875$	2.6.0.a.1, 12.12.0-2.a.1.1, 40.12.0-2.a.1.1, 56.12.0.a.1, 120.24.0.?, $\ldots$	$[(-945, 17535), (-854, 16443)]$
232050.l3	232050l1	232050.l	232050l	$4$	$4$	$ 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \cdot 17 $	$ 2^{20} \cdot 3 \cdot 5^{7} \cdot 7 \cdot 13^{2} \cdot 17^{2} $	$2$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$840$	$48$	$0$	$19.00065337$	$1$		$7$	$5898240$	$2.331154$	$136168727651533554769/5377417543680$	$0.93887$	$4.53407$	$[1, 1, 0, -2679525, -1689301875]$	$y^2+xy=x^3+x^2-2679525x-1689301875$	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 40.12.0-4.c.1.4, 56.12.0.bb.1, $\ldots$	$[(-941, 490), (2075, 40075)]$
232050.l4	232050l4	232050.l	232050l	$4$	$4$	$ 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \cdot 17 $	$ - 2^{5} \cdot 3^{4} \cdot 5^{10} \cdot 7 \cdot 13^{8} \cdot 17^{2} $	$2$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$840$	$48$	$0$	$4.750163343$	$1$		$10$	$23592960$	$3.024303$	$1044501578620483645871/2673361662704460000$	$0.96503$	$4.79857$	$[1, 1, 0, 5284475, -8648241875]$	$y^2+xy=x^3+x^2+5284475x-8648241875$	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 40.12.0-4.c.1.1, 56.12.0.v.1, $\ldots$	$[(1665, 68230), (4681, 342166)]$
232050.m1	232050m1	232050.m	232050m	$1$	$1$	$ 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \cdot 17 $	$ - 2 \cdot 3^{6} \cdot 5^{6} \cdot 7 \cdot 13^{3} \cdot 17^{5} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$12376$	$2$	$0$	$0.359674014$	$1$		$4$	$5846400$	$2.224552$	$-4069400507818743889/31836860010774$	$0.95569$	$4.25102$	$[1, 1, 0, -831525, 293470875]$	$y^2+xy=x^3+x^2-831525x+293470875$	12376.2.0.?	$[(591, 2688)]$
232050.n1	232050n1	232050.n	232050n	$2$	$2$	$ 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \cdot 17 $	$ 2^{38} \cdot 3 \cdot 5^{13} \cdot 7^{3} \cdot 13^{2} \cdot 17 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$185640$	$12$	$0$	$80.98426530$	$1$		$1$	$166699008$	$3.954510$	$1988913524286033370057329361/63486424158044160000000$	$0.99619$	$5.86934$	$[1, 1, 0, -654994125, -6271951747875]$	$y^2+xy=x^3+x^2-654994125x-6271951747875$	2.3.0.a.1, 104.6.0.?, 3570.6.0.?, 185640.12.0.?	$[(509184997454863045486505539658866715/3975577438281689, 153729366194377972674979576905838206424322199970989995/3975577438281689)]$
232050.n2	232050n2	232050.n	232050n	$2$	$2$	$ 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \cdot 17 $	$ - 2^{19} \cdot 3^{2} \cdot 5^{20} \cdot 7^{6} \cdot 13 \cdot 17^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$185640$	$12$	$0$	$40.49213265$	$1$		$0$	$333398016$	$4.301086$	$54091567741920852884796719/12729810038400000000000000$	$1.03383$	$6.06367$	$[1, 1, 0, 196973875, -21431018371875]$	$y^2+xy=x^3+x^2+196973875x-21431018371875$	2.3.0.a.1, 104.6.0.?, 7140.6.0.?, 185640.12.0.?	$[(52274690927447918405/22820359, 377048323532385488839366882490/22820359)]$
232050.o1	232050o1	232050.o	232050o	$1$	$1$	$ 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \cdot 17 $	$ - 2^{3} \cdot 3^{10} \cdot 5^{4} \cdot 7^{2} \cdot 13 \cdot 17^{3} $	$2$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$1768$	$2$	$0$	$1.048453324$	$1$		$12$	$1175040$	$1.551561$	$41148944373575/1478389027752$	$0.93725$	$3.39127$	$[1, 1, 0, 6150, -1448100]$	$y^2+xy=x^3+x^2+6150x-1448100$	1768.2.0.?	$[(591, 14163), (115, 835)]$
232050.p1	232050p1	232050.p	232050p	$2$	$2$	$ 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \cdot 17 $	$ 2^{6} \cdot 3^{3} \cdot 5^{7} \cdot 7^{5} \cdot 13^{2} \cdot 17^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$10920$	$12$	$0$	$1$	$1$		$1$	$30965760$	$3.239063$	$281943526619620204547055121/7092322735680$	$0.99033$	$5.71121$	$[1, 1, 0, -341522625, -2429420956875]$	$y^2+xy=x^3+x^2-341522625x-2429420956875$	2.3.0.a.1, 104.6.0.?, 210.6.0.?, 10920.12.0.?	$[]$
232050.p2	232050p2	232050.p	232050p	$2$	$2$	$ 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \cdot 17 $	$ - 2^{3} \cdot 3^{6} \cdot 5^{8} \cdot 7^{10} \cdot 13 \cdot 17^{4} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$10920$	$12$	$0$	$1$	$1$		$0$	$61931520$	$3.585640$	$-281911331449611876318218641/44717442986035146600$	$0.99033$	$5.71123$	$[1, 1, 0, -341509625, -2429615137875]$	$y^2+xy=x^3+x^2-341509625x-2429615137875$	2.3.0.a.1, 104.6.0.?, 420.6.0.?, 10920.12.0.?	$[]$
232050.q1	232050q1	232050.q	232050q	$1$	$1$	$ 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \cdot 17 $	$ - 2^{9} \cdot 3^{3} \cdot 5^{2} \cdot 7 \cdot 13 \cdot 17 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$37128$	$2$	$0$	$1$	$1$		$0$	$142560$	$0.395486$	$-97651532785/21385728$	$0.81464$	$2.33470$	$[1, 1, 0, -280, -2240]$	$y^2+xy=x^3+x^2-280x-2240$	37128.2.0.?	$[]$
232050.r1	232050r1	232050.r	232050r	$2$	$2$	$ 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \cdot 17 $	$ 2^{2} \cdot 3^{2} \cdot 5^{8} \cdot 7^{2} \cdot 13^{2} \cdot 17 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$1768$	$12$	$0$	$1.717150067$	$1$		$7$	$1081344$	$1.482050$	$6540147208441729/126699300$	$0.88621$	$3.72922$	$[1, 1, 0, -97400, -11740500]$	$y^2+xy=x^3+x^2-97400x-11740500$	2.3.0.a.1, 34.6.0.a.1, 104.6.0.?, 1768.12.0.?	$[(-181, 80)]$
232050.r2	232050r2	232050.r	232050r	$2$	$2$	$ 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \cdot 17 $	$ - 2 \cdot 3^{4} \cdot 5^{10} \cdot 7^{4} \cdot 13 \cdot 17^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$1768$	$12$	$0$	$3.434300135$	$1$		$4$	$2162688$	$1.828623$	$-5907066589696609/913331396250$	$0.88877$	$3.74014$	$[1, 1, 0, -94150, -12556250]$	$y^2+xy=x^3+x^2-94150x-12556250$	2.3.0.a.1, 68.6.0.c.1, 104.6.0.?, 1768.12.0.?	$[(469, 6601)]$
232050.s1	232050s2	232050.s	232050s	$2$	$2$	$ 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \cdot 17 $	$ 2^{9} \cdot 3^{3} \cdot 5^{11} \cdot 7^{14} \cdot 13^{4} \cdot 17^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$14280$	$12$	$0$	$14.90629884$	$1$		$0$	$487710720$	$4.567413$	$656951279855452335833136583681/241839679711912280107200000$	$1.01784$	$6.33880$	$[1, 1, 0, -4527688000, -70738252736000]$	$y^2+xy=x^3+x^2-4527688000x-70738252736000$	2.3.0.a.1, 120.6.0.?, 476.6.0.?, 14280.12.0.?	$[(3061604505/47, 169130099435695/47)]$
232050.s2	232050s1	232050.s	232050s	$2$	$2$	$ 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \cdot 17 $	$ - 2^{18} \cdot 3^{6} \cdot 5^{16} \cdot 7^{7} \cdot 13^{2} \cdot 17 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$14280$	$12$	$0$	$29.81259769$	$1$		$1$	$243855360$	$4.220833$	$4698067216568883444047416319/4415596696143360000000000$	$1.00935$	$5.93892$	$[1, 1, 0, 872312000, -7833652736000]$	$y^2+xy=x^3+x^2+872312000x-7833652736000$	2.3.0.a.1, 120.6.0.?, 238.6.0.?, 14280.12.0.?	$[(8568253302073505/157403, 795258498562513488100930/157403)]$
232050.t1	232050t1	232050.t	232050t	$1$	$1$	$ 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \cdot 17 $	$ - 2 \cdot 3^{13} \cdot 5^{6} \cdot 7 \cdot 13 \cdot 17^{3} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$37128$	$2$	$0$	$8.171357584$	$1$		$2$	$2545920$	$1.958811$	$-153509362902771121/1425589419618$	$0.93988$	$3.98594$	$[1, 1, 0, -278875, -57253625]$	$y^2+xy=x^3+x^2-278875x-57253625$	37128.2.0.?	$[(17385, 2282570)]$
232050.u1	232050u1	232050.u	232050u	$2$	$2$	$ 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \cdot 17 $	$ 2^{10} \cdot 3^{4} \cdot 5^{6} \cdot 7^{4} \cdot 13^{10} \cdot 17^{3} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$1768$	$12$	$0$	$1.065378312$	$1$		$9$	$206438400$	$3.948193$	$448370126000857162602152353/134883063988931602326528$	$1.02435$	$5.74876$	$[1, 1, 0, -398637050, -2122972603500]$	$y^2+xy=x^3+x^2-398637050x-2122972603500$	2.3.0.a.1, 34.6.0.a.1, 104.6.0.?, 1768.12.0.?	$[(-10045, 936635)]$
232050.u2	232050u2	232050.u	232050u	$2$	$2$	$ 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \cdot 17 $	$ - 2^{5} \cdot 3^{8} \cdot 5^{6} \cdot 7^{8} \cdot 13^{5} \cdot 17^{6} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$1768$	$12$	$0$	$2.130756624$	$1$		$6$	$412876800$	$4.294769$	$9078932501639240351982661727/10847124527712371223290784$	$1.03641$	$5.99730$	$[1, 1, 0, 1086534950, -14222668887500]$	$y^2+xy=x^3+x^2+1086534950x-14222668887500$	2.3.0.a.1, 68.6.0.c.1, 104.6.0.?, 1768.12.0.?	$[(60259, 16403515)]$
232050.v1	232050v1	232050.v	232050v	$1$	$1$	$ 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \cdot 17 $	$ - 2^{7} \cdot 3^{5} \cdot 5^{9} \cdot 7^{2} \cdot 13^{3} \cdot 17 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$26520$	$2$	$0$	$1$	$1$		$0$	$2822400$	$1.950787$	$1694948987467/56923461504$	$0.90944$	$3.77890$	$[1, 1, 0, 31050, 15916500]$	$y^2+xy=x^3+x^2+31050x+15916500$	26520.2.0.?	$[]$
232050.w1	232050w1	232050.w	232050w	$1$	$1$	$ 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \cdot 17 $	$ - 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 13 \cdot 17 $	$2$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$1768$	$2$	$0$	$1.691785076$	$1$		$8$	$55296$	$-0.028323$	$272199695/194922$	$0.76476$	$1.83257$	$[1, 1, 0, 40, -30]$	$y^2+xy=x^3+x^2+40x-30$	1768.2.0.?	$[(1, 3), (11/2, 73/2)]$
232050.x1	232050x4	232050.x	232050x	$4$	$4$	$ 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \cdot 17 $	$ 2^{4} \cdot 3 \cdot 5^{6} \cdot 7 \cdot 13 \cdot 17^{4} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$185640$	$48$	$0$	$3.056262343$	$4$	$2$	$4$	$2097152$	$1.820601$	$1399279497274949473/364819728$	$1.02360$	$4.16352$	$[1, 1, 0, -582550, -171381500]$	$y^2+xy=x^3+x^2-582550x-171381500$	2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 136.12.0.?, 546.6.0.?, $\ldots$	$[(-441, 226)]$
232050.x2	232050x2	232050.x	232050x	$4$	$4$	$ 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \cdot 17 $	$ 2^{8} \cdot 3^{2} \cdot 5^{6} \cdot 7^{2} \cdot 13^{2} \cdot 17^{2} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.6.0.1	2Cs	$92820$	$48$	$0$	$1.528131171$	$1$		$12$	$1048576$	$1.474026$	$345608484635233/5513953536$	$0.98799$	$3.49122$	$[1, 1, 0, -36550, -2667500]$	$y^2+xy=x^3+x^2-36550x-2667500$	2.6.0.a.1, 20.12.0-2.a.1.1, 68.12.0.a.1, 340.24.0.?, 1092.12.0.?, $\ldots$	$[(325, 4300)]$
232050.x3	232050x1	232050.x	232050x	$4$	$4$	$ 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \cdot 17 $	$ 2^{16} \cdot 3 \cdot 5^{6} \cdot 7 \cdot 13 \cdot 17 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$185640$	$48$	$0$	$3.056262343$	$1$		$5$	$524288$	$1.127453$	$666940371553/304152576$	$0.87689$	$2.98531$	$[1, 1, 0, -4550, 52500]$	$y^2+xy=x^3+x^2-4550x+52500$	2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.5, 136.12.0.?, 340.12.0.?, $\ldots$	$[(85, 495)]$
232050.x4	232050x3	232050.x	232050x	$4$	$4$	$ 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \cdot 17 $	$ - 2^{4} \cdot 3^{4} \cdot 5^{6} \cdot 7^{4} \cdot 13^{4} \cdot 17 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$185640$	$48$	$0$	$3.056262343$	$1$		$4$	$2097152$	$1.820601$	$-117433042273/1510843540752$	$1.00331$	$3.65489$	$[1, 1, 0, -2550, -7393500]$	$y^2+xy=x^3+x^2-2550x-7393500$	2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 68.12.0.h.1, 340.24.0.?, $\ldots$	$[(309, 4476)]$

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Elliptic curves over $\Q$
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This project is supported by grants from the US National Science Foundation, the UK Engineering and Physical Sciences Research Council, and the Simons Foundation.

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