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SageMath
E = EllipticCurve("fy1")
E.isogeny_class()
Elliptic curves in class 254016.fy
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
254016.fy1 | 254016fy1 | \([0, 0, 0, -5292, -74088]\) | \(2304\) | \(7113785140224\) | \([]\) | \(380160\) | \(1.1622\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 254016.fy1 has rank \(1\).
Complex multiplication
The elliptic curves in class 254016.fy do not have complex multiplication.Modular form 254016.2.a.fy
sage: E.q_eigenform(10)