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SageMath
E = EllipticCurve("bm1")
E.isogeny_class()
Elliptic curves in class 128576bm
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
128576.ba1 | 128576bm1 | \([0, -1, 0, -99241, -11953423]\) | \(373698304/1681\) | \(486237075014656\) | \([]\) | \(548352\) | \(1.6698\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 128576bm1 has rank \(1\).
Complex multiplication
The elliptic curves in class 128576bm do not have complex multiplication.Modular form 128576.2.a.bm
sage: E.q_eigenform(10)