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SageMath
E = EllipticCurve("bj1")
E.isogeny_class()
Elliptic curves in class 271950bj
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
271950.bj1 | 271950bj1 | \([1, 1, 0, 2191211375, -39254832875]\) | \(263618634987871768031/152557238353920000\) | \(-673338185793373470720000000000\) | \([]\) | \(342526464\) | \(4.4130\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 271950bj1 has rank \(0\).
Complex multiplication
The elliptic curves in class 271950bj do not have complex multiplication.Modular form 271950.2.a.bj
sage: E.q_eigenform(10)