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SageMath
E = EllipticCurve("bf1")
E.isogeny_class()
Elliptic curves in class 42350bf
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
42350.u1 | 42350bf1 | \([1, -1, 0, -2492, -161584]\) | \(-7243533/43904\) | \(-10375750000000\) | \([]\) | \(60480\) | \(1.1812\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 42350bf1 has rank \(1\).
Complex multiplication
The elliptic curves in class 42350bf do not have complex multiplication.Modular form 42350.2.a.bf
sage: E.q_eigenform(10)