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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 58835.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
58835.a1 | 58835n1 | \([0, 1, 1, -560, -125904]\) | \(-4096/1435\) | \(-6816399585835\) | \([]\) | \(188160\) | \(1.1417\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 58835.a1 has rank \(1\).
Complex multiplication
The elliptic curves in class 58835.a do not have complex multiplication.Modular form 58835.2.a.a
sage: E.q_eigenform(10)