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SageMath
E = EllipticCurve("bf1")
E.isogeny_class()
Elliptic curves in class 38025bf
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
38025.cr1 | 38025bf1 | \([1, -1, 0, -69237, 7311006]\) | \(-417267265/19773\) | \(-1739403009656325\) | \([]\) | \(193536\) | \(1.6871\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 38025bf1 has rank \(0\).
Complex multiplication
The elliptic curves in class 38025bf do not have complex multiplication.Modular form 38025.2.a.bf
sage: E.q_eigenform(10)