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SageMath
E = EllipticCurve("ck1")
E.isogeny_class()
Elliptic curves in class 334620.ck
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
334620.ck1 | 334620ck1 | \([0, 0, 0, -46137, 29960489]\) | \(-1141504/40095\) | \(-381491220087085680\) | \([]\) | \(3594240\) | \(2.0538\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 334620.ck1 has rank \(0\).
Complex multiplication
The elliptic curves in class 334620.ck do not have complex multiplication.Modular form 334620.2.a.ck
sage: E.q_eigenform(10)