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SageMath
E = EllipticCurve("bf1")
E.isogeny_class()
Elliptic curves in class 36414.bf
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
36414.bf1 | 36414bl1 | \([1, -1, 0, -30399, 2615021]\) | \(-610929/224\) | \(-1139113287085536\) | \([]\) | \(171360\) | \(1.5994\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 36414.bf1 has rank \(0\).
Complex multiplication
The elliptic curves in class 36414.bf do not have complex multiplication.Modular form 36414.2.a.bf
sage: E.q_eigenform(10)