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SageMath
E = EllipticCurve("y1")
E.isogeny_class()
Elliptic curves in class 310464y
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
310464.y1 | 310464y1 | \([0, 0, 0, -28812, -192080]\) | \(19208/11\) | \(1514797112328192\) | \([]\) | \(2257920\) | \(1.6025\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 310464y1 has rank \(1\).
Complex multiplication
The elliptic curves in class 310464y do not have complex multiplication.Modular form 310464.2.a.y
sage: E.q_eigenform(10)