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SageMath
E = EllipticCurve("bd1")
E.isogeny_class()
Elliptic curves in class 20808.bd
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
20808.bd1 | 20808ba1 | \([0, 0, 0, -132651, -31570938]\) | \(-918\) | \(-281198251440543744\) | \([]\) | \(146880\) | \(2.0429\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 20808.bd1 has rank \(1\).
Complex multiplication
The elliptic curves in class 20808.bd do not have complex multiplication.Modular form 20808.2.a.bd
sage: E.q_eigenform(10)