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SageMath
E = EllipticCurve("bd1")
E.isogeny_class()
Elliptic curves in class 17787bd
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
17787.h1 | 17787bd1 | \([0, 1, 1, -34162, -2443556]\) | \(-3469312/3\) | \(-3812801416347\) | \([]\) | \(70488\) | \(1.3405\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 17787bd1 has rank \(0\).
Complex multiplication
The elliptic curves in class 17787bd do not have complex multiplication.Modular form 17787.2.a.bd
sage: E.q_eigenform(10)