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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 (32 matches)

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Label Class Conductor Rank Torsion CM Regulator Weierstrass coefficients Weierstrass equation mod-$m$ images
4900.c1 4900.c \( 2^{2} \cdot 5^{2} \cdot 7^{2} \) $1$ $\mathsf{trivial}$ $0.128787006$ $[0, 1, 0, -58, 153]$ \(y^2=x^3+x^2-58x+153\) 5.10.0.a.1, 10.20.0.a.1, 14.2.0.a.1, 35.20.0.b.1, 70.40.1.i.1
4900.d1 4900.d \( 2^{2} \cdot 5^{2} \cdot 7^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 1, 0, -71458, -7415787]$ \(y^2=x^3+x^2-71458x-7415787\) 5.10.0.a.1, 10.20.0.a.1, 14.2.0.a.1, 35.20.0.b.1, 70.40.1.i.1
4900.r1 4900.r \( 2^{2} \cdot 5^{2} \cdot 7^{2} \) $1$ $\mathsf{trivial}$ $2.626776901$ $[0, -1, 0, -2858, -58183]$ \(y^2=x^3-x^2-2858x-58183\) 5.10.0.a.1, 10.20.0.a.1, 14.2.0.a.1, 35.20.0.b.1, 70.40.1.i.1
4900.s1 4900.s \( 2^{2} \cdot 5^{2} \cdot 7^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -1458, 22037]$ \(y^2=x^3-x^2-1458x+22037\) 5.10.0.a.1, 10.20.0.a.1, 14.2.0.a.1, 35.20.0.b.1, 70.40.1.i.1
19600.v1 19600.v \( 2^{4} \cdot 5^{2} \cdot 7^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 1, 0, -1458, -22037]$ \(y^2=x^3+x^2-1458x-22037\) 5.10.0.a.1, 10.20.0.a.1, 14.2.0.a.1, 35.20.0.b.1, 70.40.1.i.1
19600.w1 19600.w \( 2^{4} \cdot 5^{2} \cdot 7^{2} \) $1$ $\mathsf{trivial}$ $1.367214341$ $[0, 1, 0, -2858, 58183]$ \(y^2=x^3+x^2-2858x+58183\) 5.10.0.a.1, 10.20.0.a.1, 14.2.0.a.1, 35.20.0.b.1, 70.40.1.i.1
19600.dq1 19600.dq \( 2^{4} \cdot 5^{2} \cdot 7^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -71458, 7415787]$ \(y^2=x^3-x^2-71458x+7415787\) 5.10.0.a.1, 10.20.0.a.1, 14.2.0.a.1, 35.20.0.b.1, 70.40.1.i.1
19600.dr1 19600.dr \( 2^{4} \cdot 5^{2} \cdot 7^{2} \) $1$ $\mathsf{trivial}$ $4.293505986$ $[0, -1, 0, -58, -153]$ \(y^2=x^3-x^2-58x-153\) 5.10.0.a.1, 10.20.0.a.1, 14.2.0.a.1, 35.20.0.b.1, 70.40.1.i.1
44100.ck1 44100.ck \( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) $1$ $\mathsf{trivial}$ $1.414917683$ $[0, 0, 0, -643125, 199583125]$ \(y^2=x^3-643125x+199583125\) 5.10.0.a.1, 10.20.0.a.1, 14.2.0.a.1, 35.20.0.b.1, 70.40.1.i.1
44100.cl1 44100.cl \( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -525, -4655]$ \(y^2=x^3-525x-4655\) 5.10.0.a.1, 10.20.0.a.1, 14.2.0.a.1, 35.20.0.b.1, 70.40.1.i.1
44100.co1 44100.co \( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) $1$ $\mathsf{trivial}$ $0.806124067$ $[0, 0, 0, -13125, -581875]$ \(y^2=x^3-13125x-581875\) 5.10.0.a.1, 10.20.0.a.1, 14.2.0.a.1, 35.20.0.b.1, 70.40.1.i.1
44100.cp1 44100.cp \( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -25725, 1596665]$ \(y^2=x^3-25725x+1596665\) 5.10.0.a.1, 10.20.0.a.1, 14.2.0.a.1, 35.20.0.b.1, 70.40.1.i.1
78400.bq1 78400.bq \( 2^{6} \cdot 5^{2} \cdot 7^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 1, 0, -285833, 59040463]$ \(y^2=x^3+x^2-285833x+59040463\) 5.10.0.a.1, 10.20.0.a.1, 14.2.0.a.1, 35.20.0.b.1, 70.40.1.i.1
78400.br1 78400.br \( 2^{6} \cdot 5^{2} \cdot 7^{2} \) $1$ $\mathsf{trivial}$ $3.840537201$ $[0, 1, 0, -233, -1457]$ \(y^2=x^3+x^2-233x-1457\) 5.10.0.a.1, 10.20.0.a.1, 14.2.0.a.1, 35.20.0.b.1, 70.40.1.i.1
78400.cb1 78400.cb \( 2^{6} \cdot 5^{2} \cdot 7^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 1, 0, -11433, -476897]$ \(y^2=x^3+x^2-11433x-476897\) 5.10.0.a.1, 10.20.0.a.1, 14.2.0.a.1, 35.20.0.b.1, 70.40.1.i.1
78400.cc1 78400.cc \( 2^{6} \cdot 5^{2} \cdot 7^{2} \) $1$ $\mathsf{trivial}$ $0.661417146$ $[0, 1, 0, -5833, 170463]$ \(y^2=x^3+x^2-5833x+170463\) 5.10.0.a.1, 10.20.0.a.1, 14.2.0.a.1, 35.20.0.b.1, 70.40.1.i.1
78400.jm1 78400.jm \( 2^{6} \cdot 5^{2} \cdot 7^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -5833, -170463]$ \(y^2=x^3-x^2-5833x-170463\) 5.10.0.a.1, 10.20.0.a.1, 14.2.0.a.1, 35.20.0.b.1, 70.40.1.i.1
78400.jn1 78400.jn \( 2^{6} \cdot 5^{2} \cdot 7^{2} \) $1$ $\mathsf{trivial}$ $5.174093105$ $[0, -1, 0, -11433, 476897]$ \(y^2=x^3-x^2-11433x+476897\) 5.10.0.a.1, 10.20.0.a.1, 14.2.0.a.1, 35.20.0.b.1, 70.40.1.i.1
78400.jx1 78400.jx \( 2^{6} \cdot 5^{2} \cdot 7^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -233, 1457]$ \(y^2=x^3-x^2-233x+1457\) 5.10.0.a.1, 10.20.0.a.1, 14.2.0.a.1, 35.20.0.b.1, 70.40.1.i.1
78400.jy1 78400.jy \( 2^{6} \cdot 5^{2} \cdot 7^{2} \) $1$ $\mathsf{trivial}$ $50.16465209$ $[0, -1, 0, -285833, -59040463]$ \(y^2=x^3-x^2-285833x-59040463\) 5.10.0.a.1, 10.20.0.a.1, 14.2.0.a.1, 35.20.0.b.1, 70.40.1.i.1
176400.hc1 176400.hc \( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) $2$ $\mathsf{trivial}$ $1.710879289$ $[0, 0, 0, -525, 4655]$ \(y^2=x^3-525x+4655\) 5.10.0.a.1, 10.20.0.a.1, 14.2.0.a.1, 35.20.0.b.1, 70.40.1.i.1
176400.hd1 176400.hd \( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) $1$ $\mathsf{trivial}$ $21.18748802$ $[0, 0, 0, -643125, -199583125]$ \(y^2=x^3-643125x-199583125\) 5.10.0.a.1, 10.20.0.a.1, 14.2.0.a.1, 35.20.0.b.1, 70.40.1.i.1
176400.hq1 176400.hq \( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -25725, -1596665]$ \(y^2=x^3-25725x-1596665\) 5.10.0.a.1, 10.20.0.a.1, 14.2.0.a.1, 35.20.0.b.1, 70.40.1.i.1
176400.hr1 176400.hr \( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) $1$ $\mathsf{trivial}$ $0.782522469$ $[0, 0, 0, -13125, 581875]$ \(y^2=x^3-13125x+581875\) 5.10.0.a.1, 10.20.0.a.1, 14.2.0.a.1, 35.20.0.b.1, 70.40.1.i.1
705600.tt1 705600.tt \( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -52500, -4655000]$ \(y^2=x^3-52500x-4655000\) 5.10.0.a.1, 10.20.0.a.1, 14.2.0.a.1, 35.20.0.b.1, 70.40.1.i.1
705600.tu1 705600.tu \( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) $1$ $\mathsf{trivial}$ $3.929004027$ $[0, 0, 0, -102900, 12773320]$ \(y^2=x^3-102900x+12773320\) 5.10.0.a.1, 10.20.0.a.1, 14.2.0.a.1, 35.20.0.b.1, 70.40.1.i.1
705600.uj1 705600.uj \( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) $2$ $\mathsf{trivial}$ $6.669565110$ $[0, 0, 0, -2572500, 1596665000]$ \(y^2=x^3-2572500x+1596665000\) 5.10.0.a.1, 10.20.0.a.1, 14.2.0.a.1, 35.20.0.b.1, 70.40.1.i.1
705600.uk1 705600.uk \( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) $1$ $\mathsf{trivial}$ $6.523671495$ $[0, 0, 0, -2100, -37240]$ \(y^2=x^3-2100x-37240\) 5.10.0.a.1, 10.20.0.a.1, 14.2.0.a.1, 35.20.0.b.1, 70.40.1.i.1
705600.bin1 705600.bin \( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -102900, -12773320]$ \(y^2=x^3-102900x-12773320\) 5.10.0.a.1, 10.20.0.a.1, 14.2.0.a.1, 35.20.0.b.1, 70.40.1.i.1
705600.bio1 705600.bio \( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) $1$ $\mathsf{trivial}$ $3.525515468$ $[0, 0, 0, -52500, 4655000]$ \(y^2=x^3-52500x+4655000\) 5.10.0.a.1, 10.20.0.a.1, 14.2.0.a.1, 35.20.0.b.1, 70.40.1.i.1
705600.bjd1 705600.bjd \( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) $2$ $\mathsf{trivial}$ $3.472982271$ $[0, 0, 0, -2100, 37240]$ \(y^2=x^3-2100x+37240\) 5.10.0.a.1, 10.20.0.a.1, 14.2.0.a.1, 35.20.0.b.1, 70.40.1.i.1
705600.bje1 705600.bje \( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) $1$ $\mathsf{trivial}$ $13.66768169$ $[0, 0, 0, -2572500, -1596665000]$ \(y^2=x^3-2572500x-1596665000\) 5.10.0.a.1, 10.20.0.a.1, 14.2.0.a.1, 35.20.0.b.1, 70.40.1.i.1
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