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SageMath
E = EllipticCurve("gy1")
E.isogeny_class()
Elliptic curves in class 88200.gy
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
88200.gy1 | 88200ck1 | \([0, 0, 0, -12495, 577955]\) | \(-6288640/567\) | \(-19451756242800\) | \([]\) | \(147456\) | \(1.2931\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 88200.gy1 has rank \(1\).
Complex multiplication
The elliptic curves in class 88200.gy do not have complex multiplication.Modular form 88200.2.a.gy
sage: E.q_eigenform(10)