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SageMath
E = EllipticCurve("bj1")
E.isogeny_class()
Elliptic curves in class 156702.bj
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
156702.bj1 | 156702v1 | \([1, 1, 1, 7748, -52963]\) | \(149966731065689/90763026432\) | \(-31131718066176\) | \([]\) | \(609024\) | \(1.2783\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 156702.bj1 has rank \(2\).
Complex multiplication
The elliptic curves in class 156702.bj do not have complex multiplication.Modular form 156702.2.a.bj
sage: E.q_eigenform(10)