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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
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Results (36 matches)

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Label Class Conductor Rank Torsion CM Regulator Weierstrass coefficients Weierstrass equation mod-$m$ images
1300.c1 1300.c \( 2^{2} \cdot 5^{2} \cdot 13 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, 25, -50]$ \(y^2=x^3+25x-50\) 52.2.0.a.1
1300.e1 1300.e \( 2^{2} \cdot 5^{2} \cdot 13 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, 625, -6250]$ \(y^2=x^3+625x-6250\) 52.2.0.a.1
5200.p1 5200.p \( 2^{4} \cdot 5^{2} \cdot 13 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, 625, 6250]$ \(y^2=x^3+625x+6250\) 52.2.0.a.1
5200.t1 5200.t \( 2^{4} \cdot 5^{2} \cdot 13 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, 25, 50]$ \(y^2=x^3+25x+50\) 52.2.0.a.1
11700.d1 11700.d \( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) $1$ $\mathsf{trivial}$ $0.218598883$ $[0, 0, 0, 225, 1350]$ \(y^2=x^3+225x+1350\) 52.2.0.a.1
11700.x1 11700.x \( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) $1$ $\mathsf{trivial}$ $5.530791107$ $[0, 0, 0, 5625, 168750]$ \(y^2=x^3+5625x+168750\) 52.2.0.a.1
16900.i1 16900.i \( 2^{2} \cdot 5^{2} \cdot 13^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, 105625, -13731250]$ \(y^2=x^3+105625x-13731250\) 52.2.0.a.1
16900.k1 16900.k \( 2^{2} \cdot 5^{2} \cdot 13^{2} \) $1$ $\mathsf{trivial}$ $0.350703465$ $[0, 0, 0, 4225, -109850]$ \(y^2=x^3+4225x-109850\) 52.2.0.a.1
20800.bv1 20800.bv \( 2^{6} \cdot 5^{2} \cdot 13 \) $2$ $\mathsf{trivial}$ $0.570414072$ $[0, 0, 0, 100, -400]$ \(y^2=x^3+100x-400\) 52.2.0.a.1
20800.bw1 20800.bw \( 2^{6} \cdot 5^{2} \cdot 13 \) $1$ $\mathsf{trivial}$ $4.037515051$ $[0, 0, 0, 2500, 50000]$ \(y^2=x^3+2500x+50000\) 52.2.0.a.1
20800.cj1 20800.cj \( 2^{6} \cdot 5^{2} \cdot 13 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, 2500, -50000]$ \(y^2=x^3+2500x-50000\) 52.2.0.a.1
20800.ck1 20800.ck \( 2^{6} \cdot 5^{2} \cdot 13 \) $1$ $\mathsf{trivial}$ $0.765850573$ $[0, 0, 0, 100, 400]$ \(y^2=x^3+100x+400\) 52.2.0.a.1
46800.bb1 46800.bb \( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) $1$ $\mathsf{trivial}$ $6.675573534$ $[0, 0, 0, 5625, -168750]$ \(y^2=x^3+5625x-168750\) 52.2.0.a.1
46800.ez1 46800.ez \( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) $1$ $\mathsf{trivial}$ $1.495586219$ $[0, 0, 0, 225, -1350]$ \(y^2=x^3+225x-1350\) 52.2.0.a.1
63700.y1 63700.y \( 2^{2} \cdot 5^{2} \cdot 7^{2} \cdot 13 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, 1225, 17150]$ \(y^2=x^3+1225x+17150\) 52.2.0.a.1
63700.z1 63700.z \( 2^{2} \cdot 5^{2} \cdot 7^{2} \cdot 13 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, 30625, 2143750]$ \(y^2=x^3+30625x+2143750\) 52.2.0.a.1
67600.bs1 67600.bs \( 2^{4} \cdot 5^{2} \cdot 13^{2} \) $1$ $\mathsf{trivial}$ $0.888786740$ $[0, 0, 0, 4225, 109850]$ \(y^2=x^3+4225x+109850\) 52.2.0.a.1
67600.by1 67600.by \( 2^{4} \cdot 5^{2} \cdot 13^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, 105625, 13731250]$ \(y^2=x^3+105625x+13731250\) 52.2.0.a.1
152100.v1 152100.v \( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 13^{2} \) $1$ $\mathsf{trivial}$ $3.989704230$ $[0, 0, 0, 950625, 370743750]$ \(y^2=x^3+950625x+370743750\) 52.2.0.a.1
152100.df1 152100.df \( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 13^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, 38025, 2965950]$ \(y^2=x^3+38025x+2965950\) 52.2.0.a.1
157300.m1 157300.m \( 2^{2} \cdot 5^{2} \cdot 11^{2} \cdot 13 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, 75625, 8318750]$ \(y^2=x^3+75625x+8318750\) 52.2.0.a.1
157300.t1 157300.t \( 2^{2} \cdot 5^{2} \cdot 11^{2} \cdot 13 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, 3025, 66550]$ \(y^2=x^3+3025x+66550\) 52.2.0.a.1
187200.ci1 187200.ci \( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, 22500, -1350000]$ \(y^2=x^3+22500x-1350000\) 52.2.0.a.1
187200.cz1 187200.cz \( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) $1$ $\mathsf{trivial}$ $1.101521600$ $[0, 0, 0, 900, 10800]$ \(y^2=x^3+900x+10800\) 52.2.0.a.1
187200.nm1 187200.nm \( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, 900, -10800]$ \(y^2=x^3+900x-10800\) 52.2.0.a.1
187200.oj1 187200.oj \( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) $1$ $\mathsf{trivial}$ $3.831344230$ $[0, 0, 0, 22500, 1350000]$ \(y^2=x^3+22500x+1350000\) 52.2.0.a.1
254800.df1 254800.df \( 2^{4} \cdot 5^{2} \cdot 7^{2} \cdot 13 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, 1225, -17150]$ \(y^2=x^3+1225x-17150\) 52.2.0.a.1
254800.dg1 254800.dg \( 2^{4} \cdot 5^{2} \cdot 7^{2} \cdot 13 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, 30625, -2143750]$ \(y^2=x^3+30625x-2143750\) 52.2.0.a.1
270400.eo1 270400.eo \( 2^{6} \cdot 5^{2} \cdot 13^{2} \) $1$ $\mathsf{trivial}$ $2.299718108$ $[0, 0, 0, 16900, 878800]$ \(y^2=x^3+16900x+878800\) 52.2.0.a.1
270400.er1 270400.er \( 2^{6} \cdot 5^{2} \cdot 13^{2} \) $1$ $\mathsf{trivial}$ $2.689151746$ $[0, 0, 0, 422500, -109850000]$ \(y^2=x^3+422500x-109850000\) 52.2.0.a.1
270400.fv1 270400.fv \( 2^{6} \cdot 5^{2} \cdot 13^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, 422500, 109850000]$ \(y^2=x^3+422500x+109850000\) 52.2.0.a.1
270400.fw1 270400.fw \( 2^{6} \cdot 5^{2} \cdot 13^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, 16900, -878800]$ \(y^2=x^3+16900x-878800\) 52.2.0.a.1
375700.l1 375700.l \( 2^{2} \cdot 5^{2} \cdot 13 \cdot 17^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, 180625, -30706250]$ \(y^2=x^3+180625x-30706250\) 52.2.0.a.1
375700.r1 375700.r \( 2^{2} \cdot 5^{2} \cdot 13 \cdot 17^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, 7225, -245650]$ \(y^2=x^3+7225x-245650\) 52.2.0.a.1
469300.r1 469300.r \( 2^{2} \cdot 5^{2} \cdot 13 \cdot 19^{2} \) $2$ $\mathsf{trivial}$ $2.931665549$ $[0, 0, 0, 9025, 342950]$ \(y^2=x^3+9025x+342950\) 52.2.0.a.1
469300.ba1 469300.ba \( 2^{2} \cdot 5^{2} \cdot 13 \cdot 19^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, 225625, 42868750]$ \(y^2=x^3+225625x+42868750\) 52.2.0.a.1
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