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SageMath
E = EllipticCurve("k1")
E.isogeny_class()
Elliptic curves in class 134310.k
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
134310.k1 | 134310cv1 | \([1, 1, 0, -180413, 37781517]\) | \(-44356801009874089/16616716650000\) | \(-243285348472650000\) | \([]\) | \(2211840\) | \(2.0460\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 134310.k1 has rank \(0\).
Complex multiplication
The elliptic curves in class 134310.k do not have complex multiplication.Modular form 134310.2.a.k
sage: E.q_eigenform(10)