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SageMath
E = EllipticCurve("jy1")
E.isogeny_class()
Elliptic curves in class 58800.jy
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
58800.jy1 | 58800kd1 | \([0, 1, 0, 38792, -11898412]\) | \(16468459/165888\) | \(-65028096000000000\) | \([]\) | \(506880\) | \(1.9072\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 58800.jy1 has rank \(1\).
Complex multiplication
The elliptic curves in class 58800.jy do not have complex multiplication.Modular form 58800.2.a.jy
sage: E.q_eigenform(10)