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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 17787e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
17787.a1 | 17787e1 | \([0, -1, 1, -1673954, 834791726]\) | \(-3469312/3\) | \(-448572273831808203\) | \([]\) | \(493416\) | \(2.3134\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 17787e1 has rank \(0\).
Complex multiplication
The elliptic curves in class 17787e do not have complex multiplication.Modular form 17787.2.a.e
sage: E.q_eigenform(10)