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SageMath
E = EllipticCurve("y1")
E.isogeny_class()
Elliptic curves in class 88200.y
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
88200.y1 | 88200bl1 | \([0, 0, 0, -10290, -516215]\) | \(-71680/27\) | \(-45387431233200\) | \([]\) | \(193536\) | \(1.3304\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 88200.y1 has rank \(0\).
Complex multiplication
The elliptic curves in class 88200.y do not have complex multiplication.Modular form 88200.2.a.y
sage: E.q_eigenform(10)