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SageMath
E = EllipticCurve("bq1")
E.isogeny_class()
Elliptic curves in class 106134.bq
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
106134.bq1 | 106134bp1 | \([1, 1, 1, 1155312444, -12115355919675]\) | \(628805222251722551/597713542447104\) | \(-162105974623588698204955213824\) | \([]\) | \(142248960\) | \(4.2920\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 106134.bq1 has rank \(1\).
Complex multiplication
The elliptic curves in class 106134.bq do not have complex multiplication.Modular form 106134.2.a.bq
sage: E.q_eigenform(10)