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SageMath
E = EllipticCurve("v1")
E.isogeny_class()
Elliptic curves in class 75456.v
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
75456.v1 | 75456cs1 | \([0, 0, 0, -9516, 796624]\) | \(-498677257/1145988\) | \(-219001717260288\) | \([]\) | \(258048\) | \(1.4401\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 75456.v1 has rank \(1\).
Complex multiplication
The elliptic curves in class 75456.v do not have complex multiplication.Modular form 75456.2.a.v
sage: E.q_eigenform(10)