Properties

Label 112710.cq
Number of curves $1$
Conductor $112710$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("cq1")
 
E.isogeny_class()
 

Elliptic curves in class 112710.cq

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
112710.cq1 112710cn1 \([1, 0, 0, 332344, 34605486]\) \(2013714719/1421550\) \(-2865836129183275950\) \([]\) \(2570400\) \(2.2301\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 112710.cq1 has rank \(1\).

Complex multiplication

The elliptic curves in class 112710.cq do not have complex multiplication.

Modular form 112710.2.a.cq

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