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SageMath
E = EllipticCurve("bj1")
E.isogeny_class()
Elliptic curves in class 327990.bj
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
327990.bj1 | 327990bj1 | \([1, 0, 0, -66036, -10623384]\) | \(-53540005609/50895000\) | \(-30273532922295000\) | \([]\) | \(3386880\) | \(1.8587\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 327990.bj1 has rank \(1\).
Complex multiplication
The elliptic curves in class 327990.bj do not have complex multiplication.Modular form 327990.2.a.bj
sage: E.q_eigenform(10)