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SageMath
E = EllipticCurve("bf1")
E.isogeny_class()
Elliptic curves in class 9680.bf
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
9680.bf1 | 9680be1 | \([0, 0, 0, -187, -2134]\) | \(-1459161/3125\) | \(-1548800000\) | \([]\) | \(7680\) | \(0.45231\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 9680.bf1 has rank \(0\).
Complex multiplication
The elliptic curves in class 9680.bf do not have complex multiplication.Modular form 9680.2.a.bf
sage: E.q_eigenform(10)