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SageMath
E = EllipticCurve("bj1")
E.isogeny_class()
Elliptic curves in class 195195bj
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
195195.s1 | 195195bj1 | \([0, -1, 1, -372701, -30836518]\) | \(200462500001480704/101509548958125\) | \(2899214227793008125\) | \([]\) | \(3096576\) | \(2.2351\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 195195bj1 has rank \(1\).
Complex multiplication
The elliptic curves in class 195195bj do not have complex multiplication.Modular form 195195.2.a.bj
sage: E.q_eigenform(10)