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SageMath
E = EllipticCurve("v1")
E.isogeny_class()
Elliptic curves in class 479808.v
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
479808.v1 | 479808v1 | \([0, 0, 0, -55232604, -157994289936]\) | \(10023392043504/17\) | \(31604176116301824\) | \([]\) | \(21288960\) | \(2.8558\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 479808.v1 has rank \(1\).
Complex multiplication
The elliptic curves in class 479808.v do not have complex multiplication.Modular form 479808.2.a.v
sage: E.q_eigenform(10)