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SageMath
E = EllipticCurve("bj1")
E.isogeny_class()
Elliptic curves in class 10304.bj
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
10304.bj1 | 10304bl1 | \([0, 0, 0, -33676, -2413336]\) | \(-4124632486295808/70140333767\) | \(-71823701777408\) | \([]\) | \(43008\) | \(1.4573\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 10304.bj1 has rank \(0\).
Complex multiplication
The elliptic curves in class 10304.bj do not have complex multiplication.Modular form 10304.2.a.bj
sage: E.q_eigenform(10)