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SageMath
E = EllipticCurve("y1")
E.isogeny_class()
Elliptic curves in class 56550y
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
56550.s1 | 56550y1 | \([1, 0, 1, -4076, 99548]\) | \(766607425/2262\) | \(22089843750\) | \([]\) | \(61920\) | \(0.85484\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 56550y1 has rank \(0\).
Complex multiplication
The elliptic curves in class 56550y do not have complex multiplication.Modular form 56550.2.a.y
sage: E.q_eigenform(10)