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SageMath
E = EllipticCurve("bm1")
E.isogeny_class()
Elliptic curves in class 474320.bm
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
474320.bm1 | 474320bm1 | \([0, 1, 0, -29080, -2229900]\) | \(-15298178/3125\) | \(-555561529600000\) | \([]\) | \(2059200\) | \(1.5515\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 474320.bm1 has rank \(0\).
Complex multiplication
The elliptic curves in class 474320.bm do not have complex multiplication.Modular form 474320.2.a.bm
sage: E.q_eigenform(10)