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SageMath
E = EllipticCurve("bf1")
E.isogeny_class()
Elliptic curves in class 92400.bf
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
92400.bf1 | 92400dp1 | \([0, -1, 0, 23352, 15666672]\) | \(13752365416655/1044457193472\) | \(-106952416611532800\) | \([]\) | \(794880\) | \(1.9471\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 92400.bf1 has rank \(1\).
Complex multiplication
The elliptic curves in class 92400.bf do not have complex multiplication.Modular form 92400.2.a.bf
sage: E.q_eigenform(10)