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Conductor j-invariant Rank Torsion Complex multiplication
Bad$\ p$ Discriminant Regulator Analytic order of Ш Galois image
Isogeny class size Isogeny class degree Cyclic isogeny degree $p\ $div$\ $|Ш| Nonmax$\ \ell$
Curves per isogeny class Reduction Integral points Faltings height
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Results (42 matches)

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Label Class Conductor Rank Torsion CM Regulator Weierstrass coefficients Weierstrass equation
546.g1 546.g \( 2 \cdot 3 \cdot 7 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[1, 0, 0, -417, 3243]$ \(y^2+xy=x^3-417x+3243\)
1638.d1 1638.d \( 2 \cdot 3^{2} \cdot 7 \cdot 13 \) $1$ $\Z/2\Z$ $1.657050101$ $[1, -1, 0, -3753, -87561]$ \(y^2+xy=x^3-x^2-3753x-87561\)
3822.t1 3822.t \( 2 \cdot 3 \cdot 7^{2} \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[1, 1, 1, -20434, -1132783]$ \(y^2+xy+y=x^3+x^2-20434x-1132783\)
4368.k1 4368.k \( 2^{4} \cdot 3 \cdot 7 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -6672, -207552]$ \(y^2=x^3-x^2-6672x-207552\)
7098.j1 7098.j \( 2 \cdot 3 \cdot 7 \cdot 13^{2} \) $0$ $\Z/2\Z$ $1$ $[1, 0, 1, -70477, 7195346]$ \(y^2+xy+y=x^3-70477x+7195346\)
11466.z1 11466.z \( 2 \cdot 3^{2} \cdot 7^{2} \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, -183906, 30401230]$ \(y^2+xy=x^3-x^2-183906x+30401230\)
13104.j1 13104.j \( 2^{4} \cdot 3^{2} \cdot 7 \cdot 13 \) $1$ $\Z/2\Z$ $0.499241967$ $[0, 0, 0, -60051, 5663954]$ \(y^2=x^3-60051x+5663954\)
13650.b1 13650.b \( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \) $2$ $\Z/2\Z$ $3.234078668$ $[1, 1, 0, -10425, 405375]$ \(y^2+xy=x^3+x^2-10425x+405375\)
17472.m1 17472.m \( 2^{6} \cdot 3 \cdot 7 \cdot 13 \) $1$ $\Z/4\Z$ $4.072740421$ $[0, -1, 0, -26689, 1687105]$ \(y^2=x^3-x^2-26689x+1687105\)
17472.bv1 17472.bv \( 2^{6} \cdot 3 \cdot 7 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[0, 1, 0, -26689, -1687105]$ \(y^2=x^3+x^2-26689x-1687105\)
21294.ck1 21294.ck \( 2 \cdot 3^{2} \cdot 7 \cdot 13^{2} \) $1$ $\Z/2\Z$ $12.41183024$ $[1, -1, 1, -634289, -194274349]$ \(y^2+xy+y=x^3-x^2-634289x-194274349\)
30576.cg1 30576.cg \( 2^{4} \cdot 3 \cdot 7^{2} \cdot 13 \) $1$ $\Z/2\Z$ $5.229745798$ $[0, 1, 0, -326944, 71844212]$ \(y^2=x^3+x^2-326944x+71844212\)
40950.eb1 40950.eb \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 1, -93830, -11038953]$ \(y^2+xy+y=x^3-x^2-93830x-11038953\)
49686.u1 49686.u \( 2 \cdot 3 \cdot 7^{2} \cdot 13^{2} \) $0$ $\Z/2\Z$ $1$ $[1, 1, 0, -3453349, -2471457113]$ \(y^2+xy=x^3+x^2-3453349x-2471457113\)
52416.fc1 52416.fc \( 2^{6} \cdot 3^{2} \cdot 7 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -240204, 45311632]$ \(y^2=x^3-240204x+45311632\)
52416.fg1 52416.fg \( 2^{6} \cdot 3^{2} \cdot 7 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -240204, -45311632]$ \(y^2=x^3-240204x-45311632\)
56784.h1 56784.h \( 2^{4} \cdot 3 \cdot 7 \cdot 13^{2} \) $1$ $\Z/2\Z$ $1.503545507$ $[0, -1, 0, -1127624, -460502160]$ \(y^2=x^3-x^2-1127624x-460502160\)
66066.bg1 66066.bg \( 2 \cdot 3 \cdot 7 \cdot 11^{2} \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[1, 0, 1, -50460, -4366892]$ \(y^2+xy+y=x^3-50460x-4366892\)
91728.ep1 91728.ep \( 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 13 \) $1$ $\Z/2\Z$ $8.209200797$ $[0, 0, 0, -2942499, -1942736222]$ \(y^2=x^3-2942499x-1942736222\)
95550.dp1 95550.dp \( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 13 \) $1$ $\Z/2\Z$ $4.114055309$ $[1, 0, 1, -510851, -140576152]$ \(y^2+xy+y=x^3-510851x-140576152\)
109200.ha1 109200.ha \( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \) $1$ $\Z/2\Z$ $5.191994994$ $[0, 1, 0, -166808, -26277612]$ \(y^2=x^3+x^2-166808x-26277612\)
122304.da1 122304.da \( 2^{6} \cdot 3 \cdot 7^{2} \cdot 13 \) $1$ $\Z/2\Z$ $6.895143860$ $[0, -1, 0, -1307777, 576061473]$ \(y^2=x^3-x^2-1307777x+576061473\)
122304.hy1 122304.hy \( 2^{6} \cdot 3 \cdot 7^{2} \cdot 13 \) $1$ $\Z/2\Z$ $18.89002994$ $[0, 1, 0, -1307777, -576061473]$ \(y^2=x^3+x^2-1307777x-576061473\)
149058.fc1 149058.fc \( 2 \cdot 3^{2} \cdot 7^{2} \cdot 13^{2} \) $0$ $\Z/2\Z$ $1$ $[1, -1, 1, -31080146, 66698261907]$ \(y^2+xy+y=x^3-x^2-31080146x+66698261907\)
157794.bq1 157794.bq \( 2 \cdot 3 \cdot 7 \cdot 13 \cdot 17^{2} \) $0$ $\Z/2\Z$ $1$ $[1, 1, 1, -120519, 16053375]$ \(y^2+xy+y=x^3+x^2-120519x+16053375\)
170352.fn1 170352.fn \( 2^{4} \cdot 3^{2} \cdot 7 \cdot 13^{2} \) $0$ $\Z/4\Z$ $1$ $[0, 0, 0, -10148619, 12443706938]$ \(y^2=x^3-10148619x+12443706938\)
177450.ht1 177450.ht \( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13^{2} \) $1$ $\Z/2\Z$ $7.794191721$ $[1, 1, 1, -1761913, 899418281]$ \(y^2+xy+y=x^3+x^2-1761913x+899418281\)
197106.k1 197106.k \( 2 \cdot 3 \cdot 7 \cdot 13 \cdot 19^{2} \) $0$ $\Z/2\Z$ $1$ $[1, 1, 0, -150544, -22544822]$ \(y^2+xy=x^3+x^2-150544x-22544822\)
198198.db1 198198.db \( 2 \cdot 3^{2} \cdot 7 \cdot 11^{2} \cdot 13 \) $1$ $\Z/2\Z$ $4.796442534$ $[1, -1, 1, -454136, 117906077]$ \(y^2+xy+y=x^3-x^2-454136x+117906077\)
227136.df1 227136.df \( 2^{6} \cdot 3 \cdot 7 \cdot 13^{2} \) $1$ $\Z/2\Z$ $12.16615825$ $[0, -1, 0, -4510497, 3688527777]$ \(y^2=x^3-x^2-4510497x+3688527777\)
227136.iv1 227136.iv \( 2^{6} \cdot 3 \cdot 7 \cdot 13^{2} \) $0$ $\Z/2\Z$ $1$ $[0, 1, 0, -4510497, -3688527777]$ \(y^2=x^3+x^2-4510497x-3688527777\)
286650.pw1 286650.pw \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 1, -4597655, 3795556097]$ \(y^2+xy+y=x^3-x^2-4597655x+3795556097\)
288834.bx1 288834.bx \( 2 \cdot 3 \cdot 7 \cdot 13 \cdot 23^{2} \) $0$ $\Z/2\Z$ $1$ $[1, 0, 0, -220604, -39898782]$ \(y^2+xy=x^3-220604x-39898782\)
327600.ii1 327600.ii \( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 13 \) $1$ $\Z/2\Z$ $3.133498606$ $[0, 0, 0, -1501275, 707994250]$ \(y^2=x^3-1501275x+707994250\)
366912.cy1 366912.cy \( 2^{6} \cdot 3^{2} \cdot 7^{2} \cdot 13 \) $1$ $\Z/2\Z$ $5.167736549$ $[0, 0, 0, -11769996, 15541889776]$ \(y^2=x^3-11769996x+15541889776\)
366912.et1 366912.et \( 2^{6} \cdot 3^{2} \cdot 7^{2} \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -11769996, -15541889776]$ \(y^2=x^3-11769996x-15541889776\)
397488.ir1 397488.ir \( 2^{4} \cdot 3 \cdot 7^{2} \cdot 13^{2} \) $0$ $\Z/2\Z$ $1$ $[0, 1, 0, -55253592, 158062748052]$ \(y^2=x^3+x^2-55253592x+158062748052\)
436800.fz1 436800.fz \( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \) $1$ $\Z/2\Z$ $4.248142068$ $[0, -1, 0, -667233, -209553663]$ \(y^2=x^3-x^2-667233x-209553663\)
436800.oa1 436800.oa \( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[0, 1, 0, -667233, 209553663]$ \(y^2=x^3+x^2-667233x+209553663\)
459186.r1 459186.r \( 2 \cdot 3 \cdot 7 \cdot 13 \cdot 29^{2} \) $0$ $\Z/2\Z$ $1$ $[1, 1, 0, -350714, 79794942]$ \(y^2+xy=x^3+x^2-350714x+79794942\)
462462.r1 462462.r \( 2 \cdot 3 \cdot 7^{2} \cdot 11^{2} \cdot 13 \) $1$ $\Z/2\Z$ $3.021740956$ $[1, 1, 0, -2472516, 1495371354]$ \(y^2+xy=x^3+x^2-2472516x+1495371354\)
473382.bs1 473382.bs \( 2 \cdot 3^{2} \cdot 7 \cdot 13 \cdot 17^{2} \) $2$ $\Z/2\Z$ $21.44937004$ $[1, -1, 0, -1084671, -434525801]$ \(y^2+xy=x^3-x^2-1084671x-434525801\)
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