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SageMath
E = EllipticCurve("bf1")
E.isogeny_class()
Elliptic curves in class 38646bf
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
38646.x1 | 38646bf1 | \([1, -1, 1, -38, -17]\) | \(8120601/4294\) | \(3130326\) | \([]\) | \(6048\) | \(-0.062089\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 38646bf1 has rank \(1\).
Complex multiplication
The elliptic curves in class 38646bf do not have complex multiplication.Modular form 38646.2.a.bf
sage: E.q_eigenform(10)