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SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 1456.m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
1456.m1 | 1456m1 | \([0, -1, 0, -5, -7]\) | \(-65536/91\) | \(-23296\) | \([]\) | \(96\) | \(-0.46960\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 1456.m1 has rank \(0\).
Complex multiplication
The elliptic curves in class 1456.m do not have complex multiplication.Modular form 1456.2.a.m
sage: E.q_eigenform(10)