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SageMath
E = EllipticCurve("bd1")
E.isogeny_class()
Elliptic curves in class 59976.bd
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
59976.bd1 | 59976o1 | \([0, 0, 0, -147, -8000818]\) | \(-2/157437\) | \(-27653654101764096\) | \([]\) | \(331776\) | \(1.8338\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 59976.bd1 has rank \(0\).
Complex multiplication
The elliptic curves in class 59976.bd do not have complex multiplication.Modular form 59976.2.a.bd
sage: E.q_eigenform(10)