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SageMath
E = EllipticCurve("ck1")
E.isogeny_class()
Elliptic curves in class 79350.ck
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
79350.ck1 | 79350cb1 | \([1, 1, 1, -108462468, 434733529221]\) | \(-72077458139346985/181398528\) | \(-355137436405076659200\) | \([]\) | \(10200960\) | \(3.1815\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 79350.ck1 has rank \(1\).
Complex multiplication
The elliptic curves in class 79350.ck do not have complex multiplication.Modular form 79350.2.a.ck
sage: E.q_eigenform(10)