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SageMath
E = EllipticCurve("ba1")
E.isogeny_class()
Elliptic curves in class 17787ba
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
17787.bc1 | 17787ba1 | \([0, 1, 1, -34162, 938515]\) | \(495616/243\) | \(2161858403068749\) | \([]\) | \(168960\) | \(1.6358\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 17787ba1 has rank \(0\).
Complex multiplication
The elliptic curves in class 17787ba do not have complex multiplication.Modular form 17787.2.a.ba
sage: E.q_eigenform(10)