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SageMath
E = EllipticCurve("x1")
E.isogeny_class()
Elliptic curves in class 17787x
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
17787.bd1 | 17787x1 | \([0, 1, 1, -4152276, -3246949051]\) | \(313944395776/1240029\) | \(31272425262685292301\) | \([]\) | \(1115136\) | \(2.5980\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 17787x1 has rank \(0\).
Complex multiplication
The elliptic curves in class 17787x do not have complex multiplication.Modular form 17787.2.a.x
sage: E.q_eigenform(10)