Properties

Label 60690.bq
Number of curves $1$
Conductor $60690$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("bq1")
 
E.isogeny_class()
 

Elliptic curves in class 60690.bq

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
60690.bq1 60690bn1 \([1, 1, 1, -720, 7857]\) \(-142843688929/16800000\) \(-4855200000\) \([]\) \(46080\) \(0.59450\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 60690.bq1 has rank \(1\).

Complex multiplication

The elliptic curves in class 60690.bq do not have complex multiplication.

Modular form 60690.2.a.bq

sage: E.q_eigenform(10)
 
\(q + q^{2} - q^{3} + q^{4} + q^{5} - q^{6} - q^{7} + q^{8} + q^{9} + q^{10} + q^{11} - q^{12} - 3 q^{13} - q^{14} - q^{15} + q^{16} + q^{18} + 8 q^{19} + O(q^{20})\) Copy content Toggle raw display