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SageMath
E = EllipticCurve("jx1")
E.isogeny_class()
Elliptic curves in class 58800.jx
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
58800.jx1 | 58800jh1 | \([0, 1, 0, 76032, 32710068]\) | \(16468459/165888\) | \(-489631389843456000\) | \([]\) | \(709632\) | \(2.0755\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 58800.jx1 has rank \(0\).
Complex multiplication
The elliptic curves in class 58800.jx do not have complex multiplication.Modular form 58800.2.a.jx
sage: E.q_eigenform(10)