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SageMath
E = EllipticCurve("bo1")
E.isogeny_class()
Elliptic curves in class 374790.bo
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
374790.bo1 | 374790bo1 | \([1, 0, 1, 472311, 290705836]\) | \(13662043511/50700000\) | \(-43241575598258700000\) | \([]\) | \(19344000\) | \(2.4506\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 374790.bo1 has rank \(1\).
Complex multiplication
The elliptic curves in class 374790.bo do not have complex multiplication.Modular form 374790.2.a.bo
sage: E.q_eigenform(10)