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SageMath
E = EllipticCurve("cj1")
E.isogeny_class()
Elliptic curves in class 156702cj
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
156702.bi1 | 156702cj1 | \([1, 0, 1, 153113, 30649322]\) | \(8101546090110598727/12963389814925056\) | \(-635206100931327744\) | \([]\) | \(3241728\) | \(2.1012\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 156702cj1 has rank \(1\).
Complex multiplication
The elliptic curves in class 156702cj do not have complex multiplication.Modular form 156702.2.a.cj
sage: E.q_eigenform(10)