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SageMath
E = EllipticCurve("bo1")
E.isogeny_class()
Elliptic curves in class 10080bo
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
10080.a1 | 10080bo1 | \([0, 0, 0, -13368, 1032208]\) | \(-88478050816/102942875\) | \(-307385777664000\) | \([]\) | \(40320\) | \(1.4740\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 10080bo1 has rank \(1\).
Complex multiplication
The elliptic curves in class 10080bo do not have complex multiplication.Modular form 10080.2.a.bo
sage: E.q_eigenform(10)