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SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 7056m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
7056.bi1 | 7056m1 | \([0, 0, 0, -3087, -64827]\) | \(48384\) | \(67240638864\) | \([]\) | \(4704\) | \(0.86790\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 7056m1 has rank \(0\).
Complex multiplication
The elliptic curves in class 7056m do not have complex multiplication.Modular form 7056.2.a.m
sage: E.q_eigenform(10)