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SageMath
E = EllipticCurve("bm1")
E.isogeny_class()
Elliptic curves in class 309168.bm
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
309168.bm1 | 309168bm1 | \([0, 0, 0, -38667, -2919238]\) | \(2141202151369/6200536\) | \(18514701287424\) | \([]\) | \(622080\) | \(1.4166\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 309168.bm1 has rank \(0\).
Complex multiplication
The elliptic curves in class 309168.bm do not have complex multiplication.Modular form 309168.2.a.bm
sage: E.q_eigenform(10)