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SageMath
E = EllipticCurve("v1")
E.isogeny_class()
Elliptic curves in class 7056.v
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
7056.v1 | 7056f1 | \([0, 0, 0, -7203, -302526]\) | \(-2646\) | \(-15619751368704\) | \([]\) | \(13440\) | \(1.2414\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 7056.v1 has rank \(0\).
Complex multiplication
The elliptic curves in class 7056.v do not have complex multiplication.Modular form 7056.2.a.v
sage: E.q_eigenform(10)