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SageMath
E = EllipticCurve("bd1")
E.isogeny_class()
Elliptic curves in class 59290.bd
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
59290.bd1 | 59290bq1 | \([1, -1, 0, -87929, -10223515]\) | \(-1022556447/25000\) | \(-1838127404575000\) | \([]\) | \(316800\) | \(1.7142\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 59290.bd1 has rank \(0\).
Complex multiplication
The elliptic curves in class 59290.bd do not have complex multiplication.Modular form 59290.2.a.bd
sage: E.q_eigenform(10)