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SageMath
E = EllipticCurve("ck1")
E.isogeny_class()
Elliptic curves in class 134310ck
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
134310.u1 | 134310ck1 | \([1, 1, 0, -15732, -780336]\) | \(-243087455521/5328000\) | \(-9438877008000\) | \([]\) | \(399840\) | \(1.2788\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 134310ck1 has rank \(1\).
Complex multiplication
The elliptic curves in class 134310ck do not have complex multiplication.Modular form 134310.2.a.ck
sage: E.q_eigenform(10)