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SageMath
E = EllipticCurve("ed1")
E.isogeny_class()
Elliptic curves in class 112896ed
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
112896.j1 | 112896ed1 | \([0, 0, 0, 14406, -537824]\) | \(3136/3\) | \(-316299965216256\) | \([]\) | \(430080\) | \(1.4694\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 112896ed1 has rank \(0\).
Complex multiplication
The elliptic curves in class 112896ed do not have complex multiplication.Modular form 112896.2.a.ed
sage: E.q_eigenform(10)