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SageMath
E = EllipticCurve("y1")
E.isogeny_class()
Elliptic curves in class 17787.y
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
17787.y1 | 17787d1 | \([0, -1, 1, -13834, -622161]\) | \(-3469312/3\) | \(-253207354323\) | \([]\) | \(44856\) | \(1.1145\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 17787.y1 has rank \(0\).
Complex multiplication
The elliptic curves in class 17787.y do not have complex multiplication.Modular form 17787.2.a.y
sage: E.q_eigenform(10)