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SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 8464.m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
8464.m1 | 8464d1 | \([0, 1, 0, -2292, 42947]\) | \(-562432/23\) | \(-54477207152\) | \([]\) | \(8448\) | \(0.82763\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 8464.m1 has rank \(0\).
Complex multiplication
The elliptic curves in class 8464.m do not have complex multiplication.Modular form 8464.2.a.m
sage: E.q_eigenform(10)