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SageMath
E = EllipticCurve("v1")
E.isogeny_class()
Elliptic curves in class 75810v
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
75810.t1 | 75810v1 | \([1, 1, 0, -68722333582, -2233939329341988044]\) | \(-762949514912708039797646866801/45824812197620141357267649822720\) | \(-2155868661496585653497192338709356216320\) | \([]\) | \(5348851200\) | \(6.2263\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 75810v1 has rank \(1\).
Complex multiplication
The elliptic curves in class 75810v do not have complex multiplication.Modular form 75810.2.a.v
sage: E.q_eigenform(10)