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SageMath
E = EllipticCurve("bj1")
E.isogeny_class()
Elliptic curves in class 284592bj
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
284592.bj1 | 284592bj1 | \([0, -1, 0, -1129, 40405]\) | \(-7168/27\) | \(-600006451968\) | \([]\) | \(311040\) | \(0.94565\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 284592bj1 has rank \(1\).
Complex multiplication
The elliptic curves in class 284592bj do not have complex multiplication.Modular form 284592.2.a.bj
sage: E.q_eigenform(10)