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SageMath
E = EllipticCurve("bm1")
E.isogeny_class()
Elliptic curves in class 380926bm
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
380926.bm1 | 380926bm1 | \([1, 1, 1, -182946, 30029215]\) | \(16941416401/8464\) | \(338312896304656\) | \([]\) | \(1617408\) | \(1.7407\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 380926bm1 has rank \(2\).
Complex multiplication
The elliptic curves in class 380926bm do not have complex multiplication.Modular form 380926.2.a.bm
sage: E.q_eigenform(10)