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SageMath
E = EllipticCurve("bf1")
E.isogeny_class()
Elliptic curves in class 416955.bf
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
416955.bf1 | 416955bf1 | \([0, -1, 1, 196625, -17574219]\) | \(17869652393984/13156171875\) | \(-618943696446796875\) | \([]\) | \(5630688\) | \(2.1022\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 416955.bf1 has rank \(1\).
Complex multiplication
The elliptic curves in class 416955.bf do not have complex multiplication.Modular form 416955.2.a.bf
sage: E.q_eigenform(10)