LMFDB - Elliptic curves over $\Q$ of conductor 432450

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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
432450.a1	432450a1	432450.a	432450a	$1$	$1$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 31^{2} $	$ - 2 \cdot 3^{11} \cdot 5^{9} \cdot 31^{9} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$3720$	$2$	$0$	$1$	$1$		$0$	$129024000$	$3.526642$	$77854483/14478426$	$0.99525$	$5.05658$	$[1, -1, 0, 9617508, -205475935334]$	$y^2+xy=x^3-x^2+9617508x-205475935334$	3720.2.0.?	$[]$
432450.b1	432450b4	432450.b	432450b	$4$	$4$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 31^{2} $	$ 2 \cdot 3^{10} \cdot 5^{9} \cdot 31^{10} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.13	2B	$3720$	$48$	$0$	$10.57164633$	$1$		$0$	$212336640$	$3.801601$	$383432500775449/18701300250$	$1.08110$	$5.42739$	$[1, -1, 0, -327261042, -2180492191134]$	$y^2+xy=x^3-x^2-327261042x-2180492191134$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.6, 40.24.0-40.v.1.8, 372.12.0.?, $\ldots$	$[(-1630509/13, 627240171/13)]$
432450.b2	432450b2	432450.b	432450b	$4$	$4$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 31^{2} $	$ 2^{2} \cdot 3^{8} \cdot 5^{12} \cdot 31^{8} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.2	2Cs	$3720$	$48$	$0$	$5.285823169$	$1$		$6$	$106168320$	$3.455029$	$2023804595449/540562500$	$0.94018$	$5.02328$	$[1, -1, 0, -56979792, 121493215116]$	$y^2+xy=x^3-x^2-56979792x+121493215116$	2.6.0.a.1, 8.12.0-2.a.1.2, 20.12.0-2.a.1.1, 40.24.0-40.a.1.8, 372.12.0.?, $\ldots$	$[(1014, 253968)]$
432450.b3	432450b1	432450.b	432450b	$4$	$4$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 31^{2} $	$ 2^{4} \cdot 3^{7} \cdot 5^{9} \cdot 31^{7} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.13	2B	$3720$	$48$	$0$	$2.642911584$	$1$		$5$	$53084160$	$3.108456$	$1597099875769/186000$	$0.92887$	$5.00503$	$[1, -1, 0, -52655292, 147063983616]$	$y^2+xy=x^3-x^2-52655292x+147063983616$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.6, 20.12.0-4.c.1.2, 40.24.0-40.bb.1.8, $\ldots$	$[(4255, 4119)]$
432450.b4	432450b3	432450.b	432450b	$4$	$4$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 31^{2} $	$ - 2 \cdot 3^{7} \cdot 5^{18} \cdot 31^{7} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.13	2B	$3720$	$48$	$0$	$10.57164633$	$1$		$2$	$212336640$	$3.801601$	$32740359775271/45410156250$	$0.97141$	$5.26353$	$[1, -1, 0, 144109458, 786897543366]$	$y^2+xy=x^3-x^2+144109458x+786897543366$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.6, 20.12.0-4.c.1.1, 40.24.0-40.bb.1.16, $\ldots$	$[(30805, 5854676)]$
432450.c1	432450c1	432450.c	432450c	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 31^{2} $	$ 2^{2} \cdot 3^{3} \cdot 5^{7} \cdot 31^{7} $	$2$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$3720$	$12$	$0$	$2.607267092$	$1$		$17$	$4423680$	$2.034828$	$1860867/620$	$0.82565$	$3.69824$	$[1, -1, 0, -184692, -19853284]$	$y^2+xy=x^3-x^2-184692x-19853284$	2.3.0.a.1, 24.6.0.c.1, 930.6.0.?, 1240.6.0.?, 3720.12.0.?	$[(-302, 3034), (15074, 1842388)]$
432450.c2	432450c2	432450.c	432450c	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 31^{2} $	$ - 2 \cdot 3^{3} \cdot 5^{8} \cdot 31^{8} $	$2$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$3720$	$12$	$0$	$10.42906837$	$1$		$6$	$8847360$	$2.381401$	$45499293/48050$	$0.90596$	$3.94457$	$[1, -1, 0, 536058, -137335534]$	$y^2+xy=x^3-x^2+536058x-137335534$	2.3.0.a.1, 24.6.0.b.1, 1240.6.0.?, 1860.6.0.?, 3720.12.0.?	$[(473, 14659), (33859/11, 7633913/11)]$
432450.d1	432450d2	432450.d	432450d	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 31^{2} $	$ 2^{13} \cdot 3^{10} \cdot 5^{7} \cdot 31^{8} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$1240$	$12$	$0$	$8.060380223$	$1$		$0$	$766771200$	$4.552742$	$1152829477932246539641/3188367360$	$1.02640$	$6.57681$	$[1, -1, 0, -47233815192, 3951199421073216]$	$y^2+xy=x^3-x^2-47233815192x+3951199421073216$	2.3.0.a.1, 40.6.0.b.1, 124.6.0.?, 1240.12.0.?	$[(480231/2, 25930719/2)]$
432450.d2	432450d1	432450.d	432450d	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 31^{2} $	$ - 2^{26} \cdot 3^{8} \cdot 5^{8} \cdot 31^{7} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$1240$	$12$	$0$	$16.12076044$	$1$		$1$	$383385600$	$4.206169$	$-281115640967896441/468084326400$	$1.04713$	$5.93599$	$[1, -1, 0, -2950935192, 61789787793216]$	$y^2+xy=x^3-x^2-2950935192x+61789787793216$	2.3.0.a.1, 40.6.0.c.1, 62.6.0.b.1, 1240.12.0.?	$[(697479681/152, 1582562600619/152)]$
432450.e1	432450e1	432450.e	432450e	$1$	$1$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 31^{2} $	$ 2^{3} \cdot 3^{6} \cdot 5^{10} \cdot 31^{4} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$2$	8.2.0.2		$8$	$2$	$0$	$1$	$1$		$0$	$3110400$	$1.911121$	$24025/8$	$0.88092$	$3.58388$	$[1, -1, 0, -112617, -9450459]$	$y^2+xy=x^3-x^2-112617x-9450459$	8.2.0.b.1	$[]$
432450.f1	432450f1	432450.f	432450f	$1$	$1$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 31^{2} $	$ - 2 \cdot 3^{8} \cdot 5^{8} \cdot 31^{7} $	$2$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$248$	$2$	$0$	$1.140216988$	$1$		$10$	$14745600$	$2.604389$	$-5151505/558$	$0.81119$	$4.29194$	$[1, -1, 0, -2274867, 1439497291]$	$y^2+xy=x^3-x^2-2274867x+1439497291$	248.2.0.?	$[(2519, 106853), (2915/2, 100873/2)]$
432450.g1	432450g1	432450.g	432450g	$1$	$1$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 31^{2} $	$ - 2^{3} \cdot 3^{7} \cdot 5^{13} \cdot 31^{9} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$3720$	$2$	$0$	$4.539147168$	$1$		$2$	$159989760$	$3.820198$	$1911240521/1875000$	$0.96277$	$5.28042$	$[1, -1, 0, 173299833, -732211495259]$	$y^2+xy=x^3-x^2+173299833x-732211495259$	3720.2.0.?	$[(22859, 3883883)]$
432450.h1	432450h1	432450.h	432450h	$1$	$1$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 31^{2} $	$ - 2^{9} \cdot 3^{9} \cdot 5^{14} \cdot 31^{2} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$24$	$2$	$0$	$4.661118078$	$1$		$2$	$9953280$	$2.482876$	$8596156121591/5400000000$	$1.01997$	$4.07627$	$[1, -1, 0, 947583, -104056259]$	$y^2+xy=x^3-x^2+947583x-104056259$	24.2.0.b.1	$[(12759, 1438933)]$
432450.i1	432450i1	432450.i	432450i	$1$	$1$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 31^{2} $	$ - 2^{3} \cdot 3^{8} \cdot 5^{8} \cdot 31^{9} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$248$	$2$	$0$	$1$	$1$		$0$	$79994880$	$3.366798$	$-6125215/72$	$0.88833$	$5.08746$	$[1, -1, 0, -74710242, 251082911916]$	$y^2+xy=x^3-x^2-74710242x+251082911916$	248.2.0.?	$[]$
432450.j1	432450j1	432450.j	432450j	$1$	$1$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 31^{2} $	$ - 2^{3} \cdot 3^{8} \cdot 5^{8} \cdot 31^{3} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$248$	$2$	$0$	$1$	$1$		$0$	$2580480$	$1.649803$	$-6125215/72$	$0.88833$	$3.49976$	$[1, -1, 0, -77742, -8408084]$	$y^2+xy=x^3-x^2-77742x-8408084$	248.2.0.?	$[]$
432450.k1	432450k1	432450.k	432450k	$1$	$1$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 31^{2} $	$ - 2^{9} \cdot 3^{9} \cdot 5^{14} \cdot 31^{8} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$24$	$2$	$0$	$1$	$4$	$2$	$0$	$308551680$	$4.199867$	$8596156121591/5400000000$	$1.01997$	$5.66397$	$[1, -1, 0, 910627083, 3092654994741]$	$y^2+xy=x^3-x^2+910627083x+3092654994741$	24.2.0.b.1	$[]$
432450.l1	432450l1	432450.l	432450l	$1$	$1$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 31^{2} $	$ - 2^{3} \cdot 3^{7} \cdot 5^{13} \cdot 31^{3} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$3720$	$2$	$0$	$1.198811458$	$1$		$4$	$5160960$	$2.103203$	$1911240521/1875000$	$0.96277$	$3.69272$	$[1, -1, 0, 180333, 24531741]$	$y^2+xy=x^3-x^2+180333x+24531741$	3720.2.0.?	$[(1279, 47798)]$
432450.m1	432450m1	432450.m	432450m	$1$	$1$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 31^{2} $	$ 2^{3} \cdot 3^{6} \cdot 5^{10} \cdot 31^{10} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$2$	8.2.0.2		$8$	$2$	$0$	$38.04828908$	$1$		$0$	$96422400$	$3.628113$	$24025/8$	$0.88092$	$5.17158$	$[1, -1, 0, -108225117, 282404424541]$	$y^2+xy=x^3-x^2-108225117x+282404424541$	8.2.0.b.1	$[(-24867548495883805/2805061, 17029291414729881973953896/2805061)]$
432450.n1	432450n1	432450.n	432450n	$1$	$1$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 31^{2} $	$ - 2^{11} \cdot 3^{11} \cdot 5^{7} \cdot 31^{7} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$3720$	$2$	$0$	$1.874268506$	$1$		$4$	$81100800$	$3.272614$	$102437538839/77137920$	$0.93617$	$4.79338$	$[1, -1, 0, 21077433, 20436593341]$	$y^2+xy=x^3-x^2+21077433x+20436593341$	3720.2.0.?	$[(9029, 968498)]$
432450.o1	432450o1	432450.o	432450o	$1$	$1$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 31^{2} $	$ - 2^{3} \cdot 3^{12} \cdot 5^{4} \cdot 31^{7} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$248$	$2$	$0$	$1$	$1$		$0$	$13271040$	$2.496811$	$116436575/180792$	$0.90976$	$4.06303$	$[1, -1, 0, 752283, -326003859]$	$y^2+xy=x^3-x^2+752283x-326003859$	248.2.0.?	$[]$
432450.p1	432450p1	432450.p	432450p	$1$	$1$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 31^{2} $	$ - 2^{5} \cdot 3^{3} \cdot 5^{6} \cdot 31^{3} $	$2$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$5$	5.15.0.1	5Ns	$3720$	$60$	$3$	$2.840739220$	$1$		$8$	$1792000$	$1.405512$	$-4516672077/32$	$1.04100$	$3.50502$	$[1, -1, 0, -80067, 8740341]$	$y^2+xy=x^3-x^2-80067x+8740341$	5.15.0.a.1, 120.30.1.?, 155.30.0.?, 744.2.0.?, 3720.60.3.?	$[(163, -66), (225, 1329)]$
432450.q1	432450q1	432450.q	432450q	$1$	$1$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 31^{2} $	$ - 2 \cdot 3^{9} \cdot 5^{3} \cdot 31^{2} $	$2$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$120$	$2$	$0$	$1.685433635$	$1$		$8$	$241920$	$0.544346$	$68107/54$	$0.83758$	$2.26680$	$[1, -1, 0, 378, -1814]$	$y^2+xy=x^3-x^2+378x-1814$	120.2.0.?	$[(5, 11), (59, 443)]$
432450.r1	432450r2	432450.r	432450r	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 31^{2} $	$ 2^{8} \cdot 3^{8} \cdot 5^{20} \cdot 31^{7} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$1860$	$12$	$0$	$5.171110469$	$1$		$2$	$990904320$	$4.625412$	$5805223604235668521/435937500000000$	$1.01018$	$6.16908$	$[1, -1, 0, -8096009067, 261563333774341]$	$y^2+xy=x^3-x^2-8096009067x+261563333774341$	2.3.0.a.1, 60.6.0.c.1, 124.6.0.?, 1860.12.0.?	$[(28745, 7237814)]$
432450.r2	432450r1	432450.r	432450r	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 31^{2} $	$ - 2^{16} \cdot 3^{7} \cdot 5^{13} \cdot 31^{8} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$1860$	$12$	$0$	$10.34222093$	$1$		$1$	$495452160$	$4.278839$	$1238798620042199/14760960000000$	$1.01326$	$5.74701$	$[1, -1, 0, 483798933, 18128441390341]$	$y^2+xy=x^3-x^2+483798933x+18128441390341$	2.3.0.a.1, 30.6.0.a.1, 124.6.0.?, 1860.12.0.?	$[(12567047/13, 47308749623/13)]$
432450.s1	432450s4	432450.s	432450s	$4$	$15$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 31^{2} $	$ - 2^{3} \cdot 3^{6} \cdot 5^{10} \cdot 31^{6} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$2, 3, 5$	8.2.0.1, 3.4.0.1, 5.12.0.2	3B, 5B.4.2	$3720$	$384$	$9$	$64.37100688$	$1$		$0$	$27540000$	$2.894226$	$-349938025/8$	$1.05078$	$4.85183$	$[1, -1, 0, -27140742, -54417066084]$	$y^2+xy=x^3-x^2-27140742x-54417066084$	3.4.0.a.1, 5.12.0.a.2, 8.2.0.a.1, 15.96.1.a.1, 24.8.0.a.1, $\ldots$	$[(217859292337311776221882821685/4549650932332, 85081227622127616870522550352292508596313907/4549650932332)]$
432450.s2	432450s3	432450.s	432450s	$4$	$15$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 31^{2} $	$ - 2 \cdot 3^{6} \cdot 5^{10} \cdot 31^{6} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$2, 3, 5$	8.2.0.1, 3.4.0.1, 5.12.0.2	3B, 5B.4.2	$3720$	$384$	$9$	$21.45700229$	$1$		$0$	$9180000$	$2.344917$	$-25/2$	$1.09044$	$3.96426$	$[1, -1, 0, -112617, -171619209]$	$y^2+xy=x^3-x^2-112617x-171619209$	3.4.0.a.1, 5.12.0.a.2, 8.2.0.a.1, 15.96.1.a.2, 24.8.0.a.1, $\ldots$	$[(40384371085/7772, 3215217274335127/7772)]$
432450.s3	432450s1	432450.s	432450s	$4$	$15$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 31^{2} $	$ - 2^{5} \cdot 3^{6} \cdot 5^{2} \cdot 31^{6} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$2, 3, 5$	8.2.0.1, 3.4.0.1, 5.12.0.1	3B, 5B.4.1	$3720$	$384$	$9$	$4.291400459$	$1$		$0$	$1836000$	$1.540199$	$-121945/32$	$0.94334$	$3.27495$	$[1, -1, 0, -26127, 1966221]$	$y^2+xy=x^3-x^2-26127x+1966221$	3.4.0.a.1, 5.12.0.a.1, 8.2.0.a.1, 15.96.1.a.4, 24.8.0.a.1, $\ldots$	$[(1213/4, 38897/4)]$
432450.s4	432450s2	432450.s	432450s	$4$	$15$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 31^{2} $	$ - 2^{15} \cdot 3^{6} \cdot 5^{2} \cdot 31^{6} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$2, 3, 5$	8.2.0.1, 3.4.0.1, 5.12.0.1	3B, 5B.4.1	$3720$	$384$	$9$	$12.87420137$	$1$		$0$	$5508000$	$2.089508$	$46969655/32768$	$1.06296$	$3.70491$	$[1, -1, 0, 190098, -14510124]$	$y^2+xy=x^3-x^2+190098x-14510124$	3.4.0.a.1, 5.12.0.a.1, 8.2.0.a.1, 15.96.1.a.3, 24.8.0.a.1, $\ldots$	$[(10794373/76, 35961533289/76)]$
432450.t1	432450t2	432450.t	432450t	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 31^{2} $	$ 2^{11} \cdot 3^{12} \cdot 5^{9} \cdot 31^{10} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$120$	$12$	$0$	$1$	$9$	$3$	$0$	$973209600$	$4.616875$	$123759873855465821/1378809464832$	$1.05773$	$6.24461$	$[1, -1, 0, -11224352367, -453279579701459]$	$y^2+xy=x^3-x^2-11224352367x-453279579701459$	2.3.0.a.1, 24.6.0.j.1, 40.6.0.b.1, 60.6.0.c.1, 120.12.0.?	$[]$
432450.t2	432450t1	432450.t	432450t	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 31^{2} $	$ - 2^{22} \cdot 3^{9} \cdot 5^{9} \cdot 31^{8} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$120$	$12$	$0$	$1$	$9$	$3$	$1$	$486604800$	$4.270302$	$-317354125661/108829605888$	$1.10733$	$5.74468$	$[1, -1, 0, -153632367, -17857091381459]$	$y^2+xy=x^3-x^2-153632367x-17857091381459$	2.3.0.a.1, 24.6.0.j.1, 30.6.0.a.1, 40.6.0.c.1, 120.12.0.?	$[]$
432450.u1	432450u1	432450.u	432450u	$1$	$1$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 31^{2} $	$ - 2^{11} \cdot 3^{3} \cdot 5^{3} \cdot 31^{4} $	$2$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$120$	$2$	$0$	$2.546823880$	$1$		$8$	$781440$	$1.140476$	$700569/2048$	$1.15496$	$2.82948$	$[1, -1, 0, 2703, -109539]$	$y^2+xy=x^3-x^2+2703x-109539$	120.2.0.?	$[(39, 213), (435/2, 9237/2)]$
432450.v1	432450v2	432450.v	432450v	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 31^{2} $	$ 2^{3} \cdot 3^{8} \cdot 5^{3} \cdot 31^{8} $	$2$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$3720$	$12$	$0$	$5.578915657$	$1$		$10$	$8847360$	$2.430088$	$9814089221/69192$	$0.91309$	$4.24058$	$[1, -1, 0, -1928907, 1025315901]$	$y^2+xy=x^3-x^2-1928907x+1025315901$	2.3.0.a.1, 40.6.0.b.1, 744.6.0.?, 1860.6.0.?, 3720.12.0.?	$[(1899, 63918), (-1053/2, 312417/2)]$
432450.v2	432450v1	432450.v	432450v	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 31^{2} $	$ 2^{6} \cdot 3^{7} \cdot 5^{3} \cdot 31^{7} $	$2$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$3720$	$12$	$0$	$5.578915657$	$1$		$11$	$4423680$	$2.083511$	$10793861/5952$	$0.89977$	$3.71562$	$[1, -1, 0, -199107, -7374699]$	$y^2+xy=x^3-x^2-199107x-7374699$	2.3.0.a.1, 40.6.0.c.1, 744.6.0.?, 930.6.0.?, 3720.12.0.?	$[(-147, 4398), (6406/3, 382711/3)]$
432450.w1	432450w1	432450.w	432450w	$1$	$1$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 31^{2} $	$ - 2^{11} \cdot 3^{3} \cdot 5^{3} \cdot 31^{10} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$120$	$2$	$0$	$12.71267970$	$1$		$0$	$24224640$	$2.857468$	$700569/2048$	$1.15496$	$4.41718$	$[1, -1, 0, 2597403, 3242496661]$	$y^2+xy=x^3-x^2+2597403x+3242496661$	120.2.0.?	$[(-254489/18, 158484691/18)]$
432450.x1	432450x1	432450.x	432450x	$2$	$5$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 31^{2} $	$ - 2^{20} \cdot 3^{11} \cdot 5^{2} \cdot 31^{7} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$5$	5.12.0.1	5B.4.1	$1860$	$48$	$1$	$1.130510068$	$1$		$4$	$55296000$	$3.238903$	$-553962845641945/7898923008$	$0.98184$	$4.96153$	$[1, -1, 0, -43271127, 110910668701]$	$y^2+xy=x^3-x^2-43271127x+110910668701$	5.12.0.a.1, 20.24.0-5.a.1.4, 372.2.0.?, 465.24.0.?, 1860.48.1.?	$[(7758, 488153)]$
432450.x2	432450x2	432450.x	432450x	$2$	$5$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 31^{2} $	$ - 2^{4} \cdot 3^{7} \cdot 5^{10} \cdot 31^{11} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$5$	5.12.0.2	5B.4.2	$1860$	$48$	$1$	$5.652550343$	$1$		$0$	$276480000$	$4.043625$	$345168179975/1374199248$	$0.98987$	$5.51958$	$[1, -1, 0, 270168633, -4144586225459]$	$y^2+xy=x^3-x^2+270168633x-4144586225459$	5.12.0.a.2, 20.24.0-5.a.2.4, 372.2.0.?, 465.24.0.?, 1860.48.1.?	$[(617850/7, 383869303/7)]$
432450.y1	432450y4	432450.y	432450y	$4$	$10$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 31^{2} $	$ 2^{5} \cdot 3^{16} \cdot 5^{3} \cdot 31^{6} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 5$	2.3.0.1, 5.12.0.1	2B, 5B.4.1	$3720$	$288$	$5$	$1$	$1$		$0$	$18432000$	$2.732323$	$502270291349/1889568$	$1.07575$	$4.54383$	$[1, -1, 0, -7161552, 7354418656]$	$y^2+xy=x^3-x^2-7161552x+7354418656$	2.3.0.a.1, 5.12.0.a.1, 10.36.0.a.2, 24.6.0.j.1, 40.72.1.bf.1, $\ldots$	$[]$
432450.y2	432450y2	432450.y	432450y	$4$	$10$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 31^{2} $	$ 2 \cdot 3^{8} \cdot 5^{3} \cdot 31^{6} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 5$	2.3.0.1, 5.12.0.2	2B, 5B.4.2	$3720$	$288$	$5$	$1$	$1$		$0$	$3686400$	$1.927603$	$131872229/18$	$1.12852$	$3.90848$	$[1, -1, 0, -458577, -119398469]$	$y^2+xy=x^3-x^2-458577x-119398469$	2.3.0.a.1, 5.12.0.a.2, 10.36.0.a.1, 24.6.0.j.1, 40.72.1.bf.2, $\ldots$	$[]$
432450.y3	432450y3	432450.y	432450y	$4$	$10$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 31^{2} $	$ - 2^{10} \cdot 3^{11} \cdot 5^{3} \cdot 31^{6} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 5$	2.3.0.1, 5.12.0.1	2B, 5B.4.1	$3720$	$288$	$5$	$1$	$1$		$1$	$9216000$	$2.385746$	$-19465109/248832$	$1.09754$	$4.00297$	$[1, -1, 0, -242352, 220723456]$	$y^2+xy=x^3-x^2-242352x+220723456$	2.3.0.a.1, 5.12.0.a.1, 10.36.0.a.2, 24.6.0.j.1, 30.72.1.i.1, $\ldots$	$[]$
432450.y4	432450y1	432450.y	432450y	$4$	$10$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 31^{2} $	$ - 2^{2} \cdot 3^{7} \cdot 5^{3} \cdot 31^{6} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 5$	2.3.0.1, 5.12.0.2	2B, 5B.4.2	$3720$	$288$	$5$	$1$	$1$		$1$	$1843200$	$1.581028$	$-24389/12$	$1.10339$	$3.29355$	$[1, -1, 0, -26127, -2204519]$	$y^2+xy=x^3-x^2-26127x-2204519$	2.3.0.a.1, 5.12.0.a.2, 10.36.0.a.1, 24.6.0.j.1, 30.72.1.i.2, $\ldots$	$[]$
432450.z1	432450z1	432450.z	432450z	$1$	$1$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 31^{2} $	$ - 2 \cdot 3^{17} \cdot 5^{6} \cdot 31^{7} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$744$	$2$	$0$	$21.71973433$	$1$		$0$	$47308800$	$3.148510$	$-64432972729/10983114$	$0.96365$	$4.77755$	$[1, -1, 0, -18059292, -33604737134]$	$y^2+xy=x^3-x^2-18059292x-33604737134$	744.2.0.?	$[(153738039667/4197, 50551849203630169/4197)]$
432450.ba1	432450ba2	432450.ba	432450ba	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 31^{2} $	$ 2^{2} \cdot 3^{3} \cdot 5^{9} \cdot 31^{7} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$1860$	$12$	$0$	$9.963628475$	$1$		$0$	$49152000$	$3.236816$	$31984819729407/124$	$0.98938$	$5.35407$	$[1, -1, 0, -238320492, 1416147417916]$	$y^2+xy=x^3-x^2-238320492x+1416147417916$	2.3.0.a.1, 60.6.0.c.1, 124.6.0.?, 930.6.0.?, 1860.12.0.?	$[(-265771/4, 57468917/4)]$
432450.ba2	432450ba1	432450.ba	432450ba	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 31^{2} $	$ - 2^{4} \cdot 3^{3} \cdot 5^{9} \cdot 31^{8} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$1860$	$12$	$0$	$4.981814237$	$1$		$1$	$24576000$	$2.890244$	$-7797729087/15376$	$0.92048$	$4.71327$	$[1, -1, 0, -14887992, 22152050416]$	$y^2+xy=x^3-x^2-14887992x+22152050416$	2.3.0.a.1, 30.6.0.a.1, 124.6.0.?, 1860.12.0.?	$[(19912/3, 139268/3)]$
432450.bb1	432450bb1	432450.bb	432450bb	$1$	$1$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 31^{2} $	$ - 2 \cdot 3^{9} \cdot 5^{3} \cdot 31^{8} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$120$	$2$	$0$	$3.284972322$	$1$		$0$	$7499520$	$2.261341$	$68107/54$	$0.83758$	$3.85450$	$[1, -1, 0, 363078, 51135786]$	$y^2+xy=x^3-x^2+363078x+51135786$	120.2.0.?	$[(-1199/3, 18616/3)]$
432450.bc1	432450bc1	432450.bc	432450bc	$1$	$1$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 31^{2} $	$ - 2^{5} \cdot 3^{3} \cdot 5^{6} \cdot 31^{9} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$5$	5.15.0.1	5Ns	$3720$	$60$	$3$	$1$	$25$	$5$	$0$	$55552000$	$3.122505$	$-4516672077/32$	$1.04100$	$5.09272$	$[1, -1, 0, -76944567, -259767942659]$	$y^2+xy=x^3-x^2-76944567x-259767942659$	5.15.0.a.1, 120.30.1.?, 155.30.0.?, 744.2.0.?, 3720.60.3.?	$[]$
432450.bd1	432450bd4	432450.bd	432450bd	$4$	$6$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 31^{2} $	$ 2 \cdot 3^{9} \cdot 5^{12} \cdot 31^{6} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$3720$	$96$	$1$	$1$	$4$	$2$	$0$	$34836480$	$2.899231$	$57960603/31250$	$1.11205$	$4.47117$	$[1, -1, 0, -5229942, 1204700966]$	$y^2+xy=x^3-x^2-5229942x+1204700966$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0.ca.1, 40.6.0.e.1, $\ldots$	$[]$
432450.bd2	432450bd2	432450.bd	432450bd	$4$	$6$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 31^{2} $	$ 2^{3} \cdot 3^{3} \cdot 5^{8} \cdot 31^{6} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$3720$	$96$	$1$	$1$	$4$	$2$	$0$	$11612160$	$2.349926$	$8527173507/200$	$1.05154$	$4.34784$	$[1, -1, 0, -3067692, -2067263784]$	$y^2+xy=x^3-x^2-3067692x-2067263784$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0.ca.1, 40.6.0.e.1, $\ldots$	$[]$
432450.bd3	432450bd1	432450.bd	432450bd	$4$	$6$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 31^{2} $	$ - 2^{6} \cdot 3^{3} \cdot 5^{7} \cdot 31^{6} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$3720$	$96$	$1$	$1$	$1$		$1$	$5806080$	$2.003349$	$-1860867/320$	$0.97305$	$3.71829$	$[1, -1, 0, -184692, -34748784]$	$y^2+xy=x^3-x^2-184692x-34748784$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0.cd.1, 30.24.0.b.1, $\ldots$	$[]$
432450.bd4	432450bd3	432450.bd	432450bd	$4$	$6$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 31^{2} $	$ - 2^{2} \cdot 3^{9} \cdot 5^{9} \cdot 31^{6} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$3720$	$96$	$1$	$1$	$1$		$1$	$17418240$	$2.552658$	$804357/500$	$1.08207$	$4.14155$	$[1, -1, 0, 1256808, 147360716]$	$y^2+xy=x^3-x^2+1256808x+147360716$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0.cd.1, 30.24.0.b.1, $\ldots$	$[]$
432450.be1	432450be1	432450.be	432450be	$1$	$1$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 31^{2} $	$ - 2^{13} \cdot 3^{14} \cdot 5^{8} \cdot 31^{3} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$248$	$2$	$0$	$1$	$1$		$0$	$19169280$	$2.648197$	$-9978084895/53747712$	$1.01693$	$4.24788$	$[1, -1, 0, -914742, -1080915084]$	$y^2+xy=x^3-x^2-914742x-1080915084$	248.2.0.?	$[]$

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Elliptic curves over $\Q$
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