LMFDB - Elliptic curve search results

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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

Galois image	Adelic level	Adelic index	Adelic genus

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

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Results (43 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	Semistable	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
455.a4	455b4	455.a	455b	$4$	$4$	$ 5 \cdot 7 \cdot 13 $	$ - 5^{4} \cdot 7^{2} \cdot 13^{4} $	$1$	$\Z/4\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.24.0.11	2B	$7280$	$192$	$3$	$0.618343551$	$1$		$10$	$128$	$0.401129$	$575722725759/874680625$	$0.94006$	$4.50380$	$[1, -1, 1, 173, 1076]$	$y^2+xy+y=x^3-x^2+173x+1076$	2.3.0.a.1, 4.24.0-4.d.1.1, 56.48.0-56.x.1.4, 520.48.0.?, 1040.96.0.?, $\ldots$	$[(-4, 19)]$
2275.e4	2275c4	2275.e	2275c	$4$	$4$	$ 5^{2} \cdot 7 \cdot 13 $	$ - 5^{10} \cdot 7^{2} \cdot 13^{4} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	4.12.0.9	2B	$7280$	$192$	$3$	$1$	$1$		$0$	$3072$	$1.205847$	$575722725759/874680625$	$0.94006$	$4.81533$	$[1, -1, 0, 4333, 138866]$	$y^2+xy=x^3-x^2+4333x+138866$	2.3.0.a.1, 4.12.0.d.1, 20.24.0-4.d.1.1, 56.24.0.x.1, 104.24.0.?, $\ldots$	$[ ]$
3185.c4	3185a4	3185.c	3185a	$4$	$4$	$ 5 \cdot 7^{2} \cdot 13 $	$ - 5^{4} \cdot 7^{8} \cdot 13^{4} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.24.0.75	2B	$7280$	$192$	$3$	$1$	$1$		$0$	$6144$	$1.374084$	$575722725759/874680625$	$0.94006$	$4.86475$	$[1, -1, 1, 8492, -386144]$	$y^2+xy+y=x^3-x^2+8492x-386144$	2.3.0.a.1, 4.12.0.d.1, 8.24.0-4.d.1.4, 28.24.0-4.d.1.1, 56.48.0-56.x.1.2, $\ldots$	$[ ]$
4095.i4	4095g4	4095.i	4095g	$4$	$4$	$ 3^{2} \cdot 5 \cdot 7 \cdot 13 $	$ - 3^{6} \cdot 5^{4} \cdot 7^{2} \cdot 13^{4} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	4.12.0.9	2B	$21840$	$192$	$3$	$1.039306770$	$1$		$4$	$4096$	$0.950435$	$575722725759/874680625$	$0.94006$	$4.10654$	$[1, -1, 0, 1560, -30619]$	$y^2+xy=x^3-x^2+1560x-30619$	2.3.0.a.1, 4.12.0.d.1, 12.24.0-4.d.1.1, 56.24.0.x.1, 168.48.0.?, $\ldots$	$[(20, 81)]$
5915.g4	5915a4	5915.g	5915a	$4$	$4$	$ 5 \cdot 7 \cdot 13^{2} $	$ - 5^{4} \cdot 7^{2} \cdot 13^{10} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	4.12.0.9	2B	$7280$	$192$	$3$	$1$	$1$		$0$	$21504$	$1.683603$	$575722725759/874680625$	$0.94006$	$4.94566$	$[1, -1, 0, 29290, 2452425]$	$y^2+xy=x^3-x^2+29290x+2452425$	2.3.0.a.1, 4.12.0.d.1, 40.24.0-4.d.1.3, 52.24.0-4.d.1.1, 56.24.0.x.1, $\ldots$	$[ ]$
7280.o4	7280w4	7280.o	7280w	$4$	$4$	$ 2^{4} \cdot 5 \cdot 7 \cdot 13 $	$ - 2^{12} \cdot 5^{4} \cdot 7^{2} \cdot 13^{4} $	$1$	$\Z/4\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	4.24.0.11	2B	$7280$	$192$	$3$	$2.609583025$	$1$		$7$	$8192$	$1.094276$	$575722725759/874680625$	$0.94006$	$4.03495$	$[0, 0, 0, 2773, -71654]$	$y^2=x^3+2773x-71654$	2.3.0.a.1, 4.24.0-4.d.1.1, 56.48.0-56.x.1.4, 520.48.0.?, 1040.96.0.?, $\ldots$	$[(31, 210)]$
15925.t4	15925n4	15925.t	15925n	$4$	$4$	$ 5^{2} \cdot 7^{2} \cdot 13 $	$ - 5^{10} \cdot 7^{8} \cdot 13^{4} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	4.12.0.9	2B	$7280$	$192$	$3$	$4.513172330$	$1$		$0$	$147456$	$2.178802$	$575722725759/874680625$	$0.94006$	$5.05358$	$[1, -1, 0, 212308, -48055659]$	$y^2+xy=x^3-x^2+212308x-48055659$	2.3.0.a.1, 4.12.0.d.1, 40.24.0-4.d.1.4, 56.24.0.x.1, 104.24.0.?, $\ldots$	$[(1811/2, 93089/2)]$
20475.n4	20475y4	20475.n	20475y	$4$	$4$	$ 3^{2} \cdot 5^{2} \cdot 7 \cdot 13 $	$ - 3^{6} \cdot 5^{10} \cdot 7^{2} \cdot 13^{4} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	4.12.0.9	2B	$21840$	$192$	$3$	$1.732738686$	$1$		$4$	$98304$	$1.755154$	$575722725759/874680625$	$0.94006$	$4.41353$	$[1, -1, 1, 38995, -3788378]$	$y^2+xy+y=x^3-x^2+38995x-3788378$	2.3.0.a.1, 4.12.0.d.1, 56.24.0.x.1, 60.24.0-4.d.1.1, 312.24.0.?, $\ldots$	$[(239, 4255)]$
28665.bp4	28665bo3	28665.bp	28665bo	$4$	$4$	$ 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 $	$ - 3^{6} \cdot 5^{4} \cdot 7^{8} \cdot 13^{4} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	4.12.0.9	2B	$21840$	$192$	$3$	$1$	$1$		$0$	$196608$	$1.923389$	$575722725759/874680625$	$0.94006$	$4.46554$	$[1, -1, 0, 76431, 10349450]$	$y^2+xy=x^3-x^2+76431x+10349450$	2.3.0.a.1, 4.12.0.d.1, 24.24.0-4.d.1.4, 56.24.0.x.1, 84.24.0.?, $\ldots$	$[ ]$
29120.z4	29120a3	29120.z	29120a	$4$	$4$	$ 2^{6} \cdot 5 \cdot 7 \cdot 13 $	$ - 2^{18} \cdot 5^{4} \cdot 7^{2} \cdot 13^{4} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.24.0.69	2B	$7280$	$192$	$3$	$1.258448158$	$1$		$7$	$65536$	$1.440849$	$575722725759/874680625$	$0.94006$	$3.89537$	$[0, 0, 0, 11092, 573232]$	$y^2=x^3+11092x+573232$	2.3.0.a.1, 4.12.0.d.1, 8.24.0-4.d.1.1, 28.24.0-4.d.1.2, 56.48.0-56.x.1.3, $\ldots$	$[(6, 800)]$
29120.bc4	29120bq3	29120.bc	29120bq	$4$	$4$	$ 2^{6} \cdot 5 \cdot 7 \cdot 13 $	$ - 2^{18} \cdot 5^{4} \cdot 7^{2} \cdot 13^{4} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.24.0.69	2B	$7280$	$192$	$3$	$3.876589641$	$1$		$3$	$65536$	$1.440849$	$575722725759/874680625$	$0.94006$	$3.89537$	$[0, 0, 0, 11092, -573232]$	$y^2=x^3+11092x-573232$	2.3.0.a.1, 4.12.0.d.1, 8.24.0-4.d.1.1, 28.24.0-4.d.1.2, 56.48.0-56.x.1.3, $\ldots$	$[(188, 2856)]$
29575.h4	29575c3	29575.h	29575c	$4$	$4$	$ 5^{2} \cdot 7 \cdot 13^{2} $	$ - 5^{10} \cdot 7^{2} \cdot 13^{10} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.24.0.68	2B	$7280$	$192$	$3$	$2.789946783$	$1$		$4$	$516096$	$2.488323$	$575722725759/874680625$	$0.94006$	$5.11049$	$[1, -1, 1, 732245, 307285372]$	$y^2+xy+y=x^3-x^2+732245x+307285372$	2.3.0.a.1, 4.12.0.d.1, 8.24.0-4.d.1.3, 56.48.0-56.x.1.8, 260.24.0.?, $\ldots$	$[(-341, 4395)]$
36400.bh4	36400bc3	36400.bh	36400bc	$4$	$4$	$ 2^{4} \cdot 5^{2} \cdot 7 \cdot 13 $	$ - 2^{12} \cdot 5^{10} \cdot 7^{2} \cdot 13^{4} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	4.12.0.9	2B	$7280$	$192$	$3$	$1$	$1$		$1$	$196608$	$1.898994$	$575722725759/874680625$	$0.94006$	$4.33609$	$[0, 0, 0, 69325, -8956750]$	$y^2=x^3+69325x-8956750$	2.3.0.a.1, 4.12.0.d.1, 20.24.0-4.d.1.1, 56.24.0.x.1, 104.24.0.?, $\ldots$	$[ ]$
41405.l4	41405l3	41405.l	41405l	$4$	$4$	$ 5 \cdot 7^{2} \cdot 13^{2} $	$ - 5^{4} \cdot 7^{8} \cdot 13^{10} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	4.12.0.9	2B	$7280$	$192$	$3$	$9.580475242$	$1$		$0$	$1032192$	$2.656559$	$575722725759/874680625$	$0.94006$	$5.13865$	$[1, -1, 0, 1435201, -844052182]$	$y^2+xy=x^3-x^2+1435201x-844052182$	2.3.0.a.1, 4.12.0.d.1, 40.24.0-4.d.1.5, 56.24.0.x.1, 104.24.0.?, $\ldots$	$[(619597/4, 486698451/4)]$
50960.x4	50960t3	50960.x	50960t	$4$	$4$	$ 2^{4} \cdot 5 \cdot 7^{2} \cdot 13 $	$ - 2^{12} \cdot 5^{4} \cdot 7^{8} \cdot 13^{4} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.24.0.75	2B	$7280$	$192$	$3$	$6.243744524$	$1$		$1$	$393216$	$2.067230$	$575722725759/874680625$	$0.94006$	$4.38774$	$[0, 0, 0, 135877, 24577322]$	$y^2=x^3+135877x+24577322$	2.3.0.a.1, 4.12.0.d.1, 8.24.0-4.d.1.4, 28.24.0-4.d.1.1, 56.48.0-56.x.1.2, $\ldots$	$[(4543/3, 402094/3)]$
53235.p4	53235bl3	53235.p	53235bl	$4$	$4$	$ 3^{2} \cdot 5 \cdot 7 \cdot 13^{2} $	$ - 3^{6} \cdot 5^{4} \cdot 7^{2} \cdot 13^{10} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	4.12.0.9	2B	$21840$	$192$	$3$	$1$	$1$		$0$	$688128$	$2.232910$	$575722725759/874680625$	$0.94006$	$4.55282$	$[1, -1, 1, 263608, -66479084]$	$y^2+xy+y=x^3-x^2+263608x-66479084$	2.3.0.a.1, 4.12.0.d.1, 56.24.0.x.1, 120.24.0.?, 156.24.0.?, $\ldots$	$[ ]$
55055.p4	55055q3	55055.p	55055q	$4$	$4$	$ 5 \cdot 7 \cdot 11^{2} \cdot 13 $	$ - 5^{4} \cdot 7^{2} \cdot 11^{6} \cdot 13^{4} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	4.12.0.9	2B	$80080$	$192$	$3$	$1$	$1$		$0$	$184320$	$1.600077$	$575722725759/874680625$	$0.94006$	$3.84313$	$[1, -1, 0, 20971, -1495422]$	$y^2+xy=x^3-x^2+20971x-1495422$	2.3.0.a.1, 4.12.0.d.1, 44.24.0-4.d.1.1, 56.24.0.x.1, 520.24.0.?, $\ldots$	$[ ]$
65520.bs4	65520dc3	65520.bs	65520dc	$4$	$4$	$ 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 $	$ - 2^{12} \cdot 3^{6} \cdot 5^{4} \cdot 7^{2} \cdot 13^{4} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	4.12.0.9	2B	$21840$	$192$	$3$	$1.318873358$	$1$		$7$	$262144$	$1.643581$	$575722725759/874680625$	$0.94006$	$3.82990$	$[0, 0, 0, 24957, 1934658]$	$y^2=x^3+24957x+1934658$	2.3.0.a.1, 4.12.0.d.1, 12.24.0-4.d.1.1, 56.24.0.x.1, 168.48.0.?, $\ldots$	$[(159, 3150)]$
94640.bm4	94640bm3	94640.bm	94640bm	$4$	$4$	$ 2^{4} \cdot 5 \cdot 7 \cdot 13^{2} $	$ - 2^{12} \cdot 5^{4} \cdot 7^{2} \cdot 13^{10} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	4.12.0.9	2B	$7280$	$192$	$3$	$1$	$1$		$1$	$1376256$	$2.376751$	$575722725759/874680625$	$0.94006$	$4.47485$	$[0, 0, 0, 468637, -157423838]$	$y^2=x^3+468637x-157423838$	2.3.0.a.1, 4.12.0.d.1, 40.24.0-4.d.1.3, 52.24.0-4.d.1.1, 56.24.0.x.1, $\ldots$	$[ ]$
131495.d4	131495e3	131495.d	131495e	$4$	$4$	$ 5 \cdot 7 \cdot 13 \cdot 17^{2} $	$ - 5^{4} \cdot 7^{2} \cdot 13^{4} \cdot 17^{6} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	4.12.0.9	2B	$123760$	$192$	$3$	$0.896758803$	$1$		$6$	$589824$	$1.817736$	$575722725759/874680625$	$0.94006$	$3.78085$	$[1, -1, 1, 50087, 5488042]$	$y^2+xy+y=x^3-x^2+50087x+5488042$	2.3.0.a.1, 4.12.0.d.1, 56.24.0.x.1, 68.24.0-4.d.1.1, 520.24.0.?, $\ldots$	$[(-38, 1897)]$
143325.bu4	143325bm3	143325.bu	143325bm	$4$	$4$	$ 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 13 $	$ - 3^{6} \cdot 5^{10} \cdot 7^{8} \cdot 13^{4} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	4.12.0.9	2B	$21840$	$192$	$3$	$1$	$1$		$0$	$4718592$	$2.728107$	$575722725759/874680625$	$0.94006$	$4.67354$	$[1, -1, 1, 1910770, 1295592022]$	$y^2+xy+y=x^3-x^2+1910770x+1295592022$	2.3.0.a.1, 4.12.0.d.1, 56.24.0.x.1, 120.24.0.?, 312.24.0.?, $\ldots$	$[ ]$
145600.dr4	145600ce4	145600.dr	145600ce	$4$	$4$	$ 2^{6} \cdot 5^{2} \cdot 7 \cdot 13 $	$ - 2^{18} \cdot 5^{10} \cdot 7^{2} \cdot 13^{4} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	4.12.0.9	2B	$7280$	$192$	$3$	$3.017389891$	$1$		$5$	$1572864$	$2.245567$	$575722725759/874680625$	$0.94006$	$4.18029$	$[0, 0, 0, 277300, -71654000]$	$y^2=x^3+277300x-71654000$	2.3.0.a.1, 4.12.0.d.1, 40.24.0-4.d.1.1, 56.24.0.x.1, 104.24.0.?, $\ldots$	$[(285, 5525)]$
145600.es4	145600fz3	145600.es	145600fz	$4$	$4$	$ 2^{6} \cdot 5^{2} \cdot 7 \cdot 13 $	$ - 2^{18} \cdot 5^{10} \cdot 7^{2} \cdot 13^{4} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	4.12.0.9	2B	$7280$	$192$	$3$	$1.362261092$	$1$		$5$	$1572864$	$2.245567$	$575722725759/874680625$	$0.94006$	$4.18029$	$[0, 0, 0, 277300, 71654000]$	$y^2=x^3+277300x+71654000$	2.3.0.a.1, 4.12.0.d.1, 40.24.0-4.d.1.1, 56.24.0.x.1, 104.24.0.?, $\ldots$	$[(40, 9100)]$
164255.s4	164255s4	164255.s	164255s	$4$	$4$	$ 5 \cdot 7 \cdot 13 \cdot 19^{2} $	$ - 5^{4} \cdot 7^{2} \cdot 13^{4} \cdot 19^{6} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	4.12.0.9	2B	$138320$	$192$	$3$	$3.889655217$	$1$		$2$	$921600$	$1.873348$	$575722725759/874680625$	$0.94006$	$3.76639$	$[1, -1, 0, 62566, -7694935]$	$y^2+xy=x^3-x^2+62566x-7694935$	2.3.0.a.1, 4.12.0.d.1, 56.24.0.x.1, 76.24.0.?, 520.24.0.?, $\ldots$	$[(256, 4877)]$
203840.dp4	203840ej4	203840.dp	203840ej	$4$	$4$	$ 2^{6} \cdot 5 \cdot 7^{2} \cdot 13 $	$ - 2^{18} \cdot 5^{4} \cdot 7^{8} \cdot 13^{4} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	4.24.0.9	2B	$7280$	$192$	$3$	$1$	$1$		$1$	$3145728$	$2.413803$	$575722725759/874680625$	$0.94006$	$4.23037$	$[0, 0, 0, 543508, -196618576]$	$y^2=x^3+543508x-196618576$	2.3.0.a.1, 4.24.0-4.d.1.2, 56.48.0-56.x.1.1, 520.48.0.?, 1040.96.0.?, $\ldots$	$[ ]$
203840.dq4	203840bj3	203840.dq	203840bj	$4$	$4$	$ 2^{6} \cdot 5 \cdot 7^{2} \cdot 13 $	$ - 2^{18} \cdot 5^{4} \cdot 7^{8} \cdot 13^{4} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	4.24.0.9	2B	$7280$	$192$	$3$	$3.692117722$	$1$		$5$	$3145728$	$2.413803$	$575722725759/874680625$	$0.94006$	$4.23037$	$[0, 0, 0, 543508, 196618576]$	$y^2=x^3+543508x+196618576$	2.3.0.a.1, 4.24.0-4.d.1.2, 56.48.0-56.x.1.1, 520.48.0.?, 1040.96.0.?, $\ldots$	$[(-243, 7085)]$
207025.x4	207025x4	207025.x	207025x	$4$	$4$	$ 5^{2} \cdot 7^{2} \cdot 13^{2} $	$ - 5^{10} \cdot 7^{8} \cdot 13^{10} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.24.0.66	2B	$7280$	$192$	$3$	$1$	$1$		$0$	$24772608$	$3.461277$	$575722725759/874680625$	$0.94006$	$5.25190$	$[1, -1, 1, 35880020, -105470642728]$	$y^2+xy+y=x^3-x^2+35880020x-105470642728$	2.3.0.a.1, 4.12.0.d.1, 8.24.0-4.d.1.5, 56.48.0-56.x.1.6, 520.48.0.?, $\ldots$	$[ ]$
240695.f4	240695f4	240695.f	240695f	$4$	$4$	$ 5 \cdot 7 \cdot 13 \cdot 23^{2} $	$ - 5^{4} \cdot 7^{2} \cdot 13^{4} \cdot 23^{6} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	4.12.0.9	2B	$167440$	$192$	$3$	$1$	$1$		$0$	$1576960$	$1.968876$	$575722725759/874680625$	$0.94006$	$3.74276$	$[1, -1, 1, 91682, -13645018]$	$y^2+xy+y=x^3-x^2+91682x-13645018$	2.3.0.a.1, 4.12.0.d.1, 56.24.0.x.1, 92.24.0.?, 520.24.0.?, $\ldots$	$[ ]$
254800.dq4	254800dq3	254800.dq	254800dq	$4$	$4$	$ 2^{4} \cdot 5^{2} \cdot 7^{2} \cdot 13 $	$ - 2^{12} \cdot 5^{10} \cdot 7^{8} \cdot 13^{4} $	$2$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	4.12.0.9	2B	$7280$	$192$	$3$	$9.448112114$	$1$		$9$	$9437184$	$2.871948$	$575722725759/874680625$	$0.94006$	$4.59619$	$[0, 0, 0, 3396925, 3072165250]$	$y^2=x^3+3396925x+3072165250$	2.3.0.a.1, 4.12.0.d.1, 40.24.0-4.d.1.4, 56.24.0.x.1, 104.24.0.?, $\ldots$	$[(855, 81250), (3390, 231400)]$
262080.iw4	262080iw4	262080.iw	262080iw	$4$	$4$	$ 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 $	$ - 2^{18} \cdot 3^{6} \cdot 5^{4} \cdot 7^{2} \cdot 13^{4} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	4.12.0.9	2B	$21840$	$192$	$3$	$1.670854955$	$1$		$3$	$2097152$	$1.990156$	$575722725759/874680625$	$0.94006$	$3.73769$	$[0, 0, 0, 99828, -15477264]$	$y^2=x^3+99828x-15477264$	2.3.0.a.1, 4.12.0.d.1, 24.24.0-4.d.1.1, 56.24.0.x.1, 84.24.0.?, $\ldots$	$[(942, 30240)]$
262080.lv4	262080lv3	262080.lv	262080lv	$4$	$4$	$ 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 $	$ - 2^{18} \cdot 3^{6} \cdot 5^{4} \cdot 7^{2} \cdot 13^{4} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	4.12.0.9	2B	$21840$	$192$	$3$	$2.735605607$	$1$		$5$	$2097152$	$1.990156$	$575722725759/874680625$	$0.94006$	$3.73769$	$[0, 0, 0, 99828, 15477264]$	$y^2=x^3+99828x+15477264$	2.3.0.a.1, 4.12.0.d.1, 24.24.0-4.d.1.1, 56.24.0.x.1, 84.24.0.?, $\ldots$	$[(-32, 3500)]$
266175.de4	266175de4	266175.de	266175de	$4$	$4$	$ 3^{2} \cdot 5^{2} \cdot 7 \cdot 13^{2} $	$ - 3^{6} \cdot 5^{10} \cdot 7^{2} \cdot 13^{10} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	4.12.0.9	2B	$21840$	$192$	$3$	$1$	$1$		$0$	$16515072$	$3.037628$	$575722725759/874680625$	$0.94006$	$4.73927$	$[1, -1, 0, 6590208, -8303295259]$	$y^2+xy=x^3-x^2+6590208x-8303295259$	2.3.0.a.1, 4.12.0.d.1, 24.24.0-4.d.1.3, 56.24.0.x.1, 168.48.0.?, $\ldots$	$[ ]$
275275.t4	275275t4	275275.t	275275t	$4$	$4$	$ 5^{2} \cdot 7 \cdot 11^{2} \cdot 13 $	$ - 5^{10} \cdot 7^{2} \cdot 11^{6} \cdot 13^{4} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	4.12.0.9	2B	$80080$	$192$	$3$	$1.818360702$	$1$		$6$	$4423680$	$2.404797$	$575722725759/874680625$	$0.94006$	$4.12027$	$[1, -1, 1, 524270, -186403478]$	$y^2+xy+y=x^3-x^2+524270x-186403478$	2.3.0.a.1, 4.12.0.d.1, 56.24.0.x.1, 220.24.0.?, 520.24.0.?, $\ldots$	$[(514, 14530)]$
327600.dd4	327600dd3	327600.dd	327600dd	$4$	$4$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 13 $	$ - 2^{12} \cdot 3^{6} \cdot 5^{10} \cdot 7^{2} \cdot 13^{4} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	4.12.0.9	2B	$21840$	$192$	$3$	$3.144192215$	$1$		$5$	$6291456$	$2.448299$	$575722725759/874680625$	$0.94006$	$4.10492$	$[0, 0, 0, 623925, 241832250]$	$y^2=x^3+623925x+241832250$	2.3.0.a.1, 4.12.0.d.1, 56.24.0.x.1, 60.24.0-4.d.1.1, 312.24.0.?, $\ldots$	$[(295, 21250)]$
372645.bd4	372645bd3	372645.bd	372645bd	$4$	$4$	$ 3^{2} \cdot 5 \cdot 7^{2} \cdot 13^{2} $	$ - 3^{6} \cdot 5^{4} \cdot 7^{8} \cdot 13^{10} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	4.12.0.9	2B	$21840$	$192$	$3$	$7.178805917$	$1$		$0$	$33030144$	$3.205864$	$575722725759/874680625$	$0.94006$	$4.77234$	$[1, -1, 1, 12916807, 22776492106]$	$y^2+xy+y=x^3-x^2+12916807x+22776492106$	2.3.0.a.1, 4.12.0.d.1, 56.24.0.x.1, 120.24.0.?, 312.24.0.?, $\ldots$	$[(2095/2, 1376251/2)]$
378560.ex4	378560ex4	378560.ex	378560ex	$4$	$4$	$ 2^{6} \cdot 5 \cdot 7 \cdot 13^{2} $	$ - 2^{18} \cdot 5^{4} \cdot 7^{2} \cdot 13^{10} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	4.12.0.9	2B	$7280$	$192$	$3$	$4.656529165$	$1$		$3$	$11010048$	$2.723324$	$575722725759/874680625$	$0.94006$	$4.31566$	$[0, 0, 0, 1874548, -1259390704]$	$y^2=x^3+1874548x-1259390704$	2.3.0.a.1, 4.12.0.d.1, 40.24.0-4.d.1.2, 56.24.0.x.1, 104.24.0.?, $\ldots$	$[(3757, 242515)]$
378560.fk4	378560fk3	378560.fk	378560fk	$4$	$4$	$ 2^{6} \cdot 5 \cdot 7 \cdot 13^{2} $	$ - 2^{18} \cdot 5^{4} \cdot 7^{2} \cdot 13^{10} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	4.12.0.9	2B	$7280$	$192$	$3$	$2.157427406$	$1$		$3$	$11010048$	$2.723324$	$575722725759/874680625$	$0.94006$	$4.31566$	$[0, 0, 0, 1874548, 1259390704]$	$y^2=x^3+1874548x+1259390704$	2.3.0.a.1, 4.12.0.d.1, 40.24.0-4.d.1.2, 56.24.0.x.1, 104.24.0.?, $\ldots$	$[(468, 47320)]$
382655.j4	382655j3	382655.j	382655j	$4$	$4$	$ 5 \cdot 7 \cdot 13 \cdot 29^{2} $	$ - 5^{4} \cdot 7^{2} \cdot 13^{4} \cdot 29^{6} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	4.12.0.9	2B	$211120$	$192$	$3$	$1.510626625$	$1$		$4$	$3211264$	$2.084778$	$575722725759/874680625$	$0.94006$	$3.71597$	$[1, -1, 0, 145756, 27269333]$	$y^2+xy=x^3-x^2+145756x+27269333$	2.3.0.a.1, 4.12.0.d.1, 56.24.0.x.1, 116.24.0.?, 520.24.0.?, $\ldots$	$[(52, 5889)]$
385385.ba4	385385ba3	385385.ba	385385ba	$4$	$4$	$ 5 \cdot 7^{2} \cdot 11^{2} \cdot 13 $	$ - 5^{4} \cdot 7^{8} \cdot 11^{6} \cdot 13^{4} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	4.12.0.9	2B	$80080$	$192$	$3$	$1$	$1$		$0$	$8847360$	$2.573032$	$575722725759/874680625$	$0.94006$	$4.16945$	$[1, -1, 0, 1027570, 510874601]$	$y^2+xy=x^3-x^2+1027570x+510874601$	2.3.0.a.1, 4.12.0.d.1, 56.24.0.x.1, 88.24.0.?, 308.24.0.?, $\ldots$	$[ ]$
437255.a4	437255a4	437255.a	437255a	$4$	$4$	$ 5 \cdot 7 \cdot 13 \cdot 31^{2} $	$ - 5^{4} \cdot 7^{2} \cdot 13^{4} \cdot 31^{6} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	4.12.0.9	2B	$225680$	$192$	$3$	$4.611274000$	$1$		$2$	$3870720$	$2.118122$	$575722725759/874680625$	$0.94006$	$3.70862$	$[1, -1, 1, 166553, -33395456]$	$y^2+xy+y=x^3-x^2+166553x-33395456$	2.3.0.a.1, 4.12.0.d.1, 56.24.0.x.1, 124.24.0.?, 520.24.0.?, $\ldots$	$[(622, 17311)]$
458640.kl4	458640kl4	458640.kl	458640kl	$4$	$4$	$ 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 $	$ - 2^{12} \cdot 3^{6} \cdot 5^{4} \cdot 7^{8} \cdot 13^{4} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	4.12.0.9	2B	$21840$	$192$	$3$	$5.240999840$	$1$		$3$	$12582912$	$2.616535$	$575722725759/874680625$	$0.94006$	$4.15384$	$[0, 0, 0, 1222893, -663587694]$	$y^2=x^3+1222893x-663587694$	2.3.0.a.1, 4.12.0.d.1, 24.24.0-4.d.1.4, 56.24.0.x.1, 84.24.0.?, $\ldots$	$[(14151, 1688310)]$
473200.em4	473200em4	473200.em	473200em	$4$	$4$	$ 2^{4} \cdot 5^{2} \cdot 7 \cdot 13^{2} $	$ - 2^{12} \cdot 5^{10} \cdot 7^{2} \cdot 13^{10} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.24.0.68	2B	$7280$	$192$	$3$	$2.141779647$	$4$	$2$	$7$	$33030144$	$3.181469$	$575722725759/874680625$	$0.94006$	$4.66269$	$[0, 0, 0, 11715925, -19677979750]$	$y^2=x^3+11715925x-19677979750$	2.3.0.a.1, 4.12.0.d.1, 8.24.0-4.d.1.3, 56.48.0-56.x.1.8, 260.24.0.?, $\ldots$	$[(3055, 211250)]$
495495.z4	495495z3	495495.z	495495z	$4$	$4$	$ 3^{2} \cdot 5 \cdot 7 \cdot 11^{2} \cdot 13 $	$ - 3^{6} \cdot 5^{4} \cdot 7^{2} \cdot 11^{6} \cdot 13^{4} $	$2$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	4.12.0.9	2B	$240240$	$192$	$3$	$6.662387707$	$1$		$8$	$5898240$	$2.149384$	$575722725759/874680625$	$0.94006$	$3.70186$	$[1, -1, 1, 188737, 40187656]$	$y^2+xy+y=x^3-x^2+188737x+40187656$	2.3.0.a.1, 4.12.0.d.1, 56.24.0.x.1, 132.24.0.?, 520.24.0.?, $\ldots$	$[(91, 7577), (-125, 3887)]$

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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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