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SageMath
E = EllipticCurve("bd1")
E.isogeny_class()
Elliptic curves in class 5808bd
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
5808.u1 | 5808bd1 | \([0, 1, 0, 346504, 119424468]\) | \(43307231/82944\) | \(-8811944944047489024\) | \([]\) | \(126720\) | \(2.3198\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 5808bd1 has rank \(0\).
Complex multiplication
The elliptic curves in class 5808bd do not have complex multiplication.Modular form 5808.2.a.bd
sage: E.q_eigenform(10)