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SageMath
E = EllipticCurve("bm1")
E.isogeny_class()
Elliptic curves in class 302330.bm
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
302330.bm1 | 302330bm1 | \([1, 1, 1, -6126, -220501]\) | \(-216108018001/49360000\) | \(-5807154640000\) | \([]\) | \(645120\) | \(1.1690\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 302330.bm1 has rank \(1\).
Complex multiplication
The elliptic curves in class 302330.bm do not have complex multiplication.Modular form 302330.2.a.bm
sage: E.q_eigenform(10)