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SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 5808.j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
5808.j1 | 5808c1 | \([0, -1, 0, -8873, 369525]\) | \(-1408000/243\) | \(-13334837269248\) | \([]\) | \(10560\) | \(1.2447\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 5808.j1 has rank \(0\).
Complex multiplication
The elliptic curves in class 5808.j do not have complex multiplication.Modular form 5808.2.a.j
sage: E.q_eigenform(10)