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SageMath
E = EllipticCurve("bj1")
E.isogeny_class()
Elliptic curves in class 304200.bj
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
304200.bj1 | 304200bj1 | \([0, 0, 0, -3315, 60190]\) | \(1277380/243\) | \(766408780800\) | \([]\) | \(276480\) | \(0.99792\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 304200.bj1 has rank \(2\).
Complex multiplication
The elliptic curves in class 304200.bj do not have complex multiplication.Modular form 304200.2.a.bj
sage: E.q_eigenform(10)