Properties

Label 57150.bq
Number of curves $1$
Conductor $57150$
CM no
Rank $1$

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Show commands: 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)
 
\(q + q^{2} + q^{4} + 2 q^{7} + q^{8} - 5 q^{11} + 2 q^{14} + q^{16} + 7 q^{17} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display