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SageMath
E = EllipticCurve("cj1")
E.isogeny_class()
Elliptic curves in class 134310cj
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
134310.t1 | 134310cj1 | \([1, 1, 0, -10287, -257979]\) | \(51064811/17760\) | \(41877150992160\) | \([]\) | \(337920\) | \(1.3154\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 134310cj1 has rank \(0\).
Complex multiplication
The elliptic curves in class 134310cj do not have complex multiplication.Modular form 134310.2.a.cj
sage: E.q_eigenform(10)