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SageMath
E = EllipticCurve("v1")
E.isogeny_class()
Elliptic curves in class 71478.v
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
71478.v1 | 71478bc1 | \([1, -1, 0, 18, -4172]\) | \(2375/28512\) | \(-7503474528\) | \([]\) | \(57600\) | \(0.57379\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 71478.v1 has rank \(0\).
Complex multiplication
The elliptic curves in class 71478.v do not have complex multiplication.Modular form 71478.2.a.v
sage: E.q_eigenform(10)