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SageMath
E = EllipticCurve("bx1")
E.isogeny_class()
Elliptic curves in class 10080.bx
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
10080.bx1 | 10080ca1 | \([0, 0, 0, -2712, 54416]\) | \(-738763264/875\) | \(-2612736000\) | \([]\) | \(5760\) | \(0.71853\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 10080.bx1 has rank \(1\).
Complex multiplication
The elliptic curves in class 10080.bx do not have complex multiplication.Modular form 10080.2.a.bx
sage: E.q_eigenform(10)