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SageMath
E = EllipticCurve("bd1")
E.isogeny_class()
Elliptic curves in class 177744.bd
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
177744.bd1 | 177744df1 | \([0, -1, 0, 3320, 49168]\) | \(162365474/137781\) | \(-3433229162496\) | \([]\) | \(345600\) | \(1.0930\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 177744.bd1 has rank \(1\).
Complex multiplication
The elliptic curves in class 177744.bd do not have complex multiplication.Modular form 177744.2.a.bd
sage: E.q_eigenform(10)