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SageMath
E = EllipticCurve("v1")
E.isogeny_class()
Elliptic curves in class 227850.v
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
227850.v1 | 227850hk1 | \([1, 1, 0, 14675, -687875]\) | \(7604375/8928\) | \(-410300887500000\) | \([]\) | \(907200\) | \(1.4903\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 227850.v1 has rank \(1\).
Complex multiplication
The elliptic curves in class 227850.v do not have complex multiplication.Modular form 227850.2.a.v
sage: E.q_eigenform(10)