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SageMath
E = EllipticCurve("jc1")
E.isogeny_class()
Elliptic curves in class 58800jc
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
58800.fm1 | 58800jc1 | \([0, 1, 0, -9998, -388137]\) | \(-805661175040/729\) | \(-100018800\) | \([]\) | \(55296\) | \(0.83337\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 58800jc1 has rank \(0\).
Complex multiplication
The elliptic curves in class 58800jc do not have complex multiplication.Modular form 58800.2.a.jc
sage: E.q_eigenform(10)