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SageMath
E = EllipticCurve("y1")
E.isogeny_class()
Elliptic curves in class 38720y
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
38720.bc1 | 38720y1 | \([0, -1, 0, 895, 177025]\) | \(453962/78125\) | \(-13629440000000\) | \([]\) | \(64512\) | \(1.1995\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 38720y1 has rank \(2\).
Complex multiplication
The elliptic curves in class 38720y do not have complex multiplication.Modular form 38720.2.a.y
sage: E.q_eigenform(10)