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SageMath
E = EllipticCurve("bm1")
E.isogeny_class()
Elliptic curves in class 360640bm
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
360640.bm1 | 360640bm1 | \([0, 1, 0, -65, -6497]\) | \(-196/115\) | \(-18095472640\) | \([]\) | \(205824\) | \(0.64732\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 360640bm1 has rank \(0\).
Complex multiplication
The elliptic curves in class 360640bm do not have complex multiplication.Modular form 360640.2.a.bm
sage: E.q_eigenform(10)