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SageMath
E = EllipticCurve("bj1")
E.isogeny_class()
Elliptic curves in class 30400bj
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
30400.g1 | 30400bj1 | \([0, 1, 0, -2133, 37363]\) | \(-4194304/19\) | \(-4864000000\) | \([]\) | \(26880\) | \(0.71036\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 30400bj1 has rank \(0\).
Complex multiplication
The elliptic curves in class 30400bj do not have complex multiplication.Modular form 30400.2.a.bj
sage: E.q_eigenform(10)