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SageMath
E = EllipticCurve("bq1")
E.isogeny_class()
Elliptic curves in class 57150.bq
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
57150.bq1 | 57150bx1 | \([1, -1, 1, 51925, -717573]\) | \(169911794845603/100682121216\) | \(-9174658295808000\) | \([]\) | \(548352\) | \(1.7523\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 57150.bq1 has rank \(1\).
Complex multiplication
The elliptic curves in class 57150.bq do not have complex multiplication.Modular form 57150.2.a.bq
sage: E.q_eigenform(10)