Properties

Label 348726s
Number of curves $1$
Conductor $348726$
CM no
Rank $1$

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Show commands for: SageMath
sage: E = EllipticCurve("s1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 348726s

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
348726.s1 348726s1 [1, 0, 1, -55507, -2568274] [] 2661120 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 348726s1 has rank \(1\).

Complex multiplication

The elliptic curves in class 348726s do not have complex multiplication.

Modular form 348726.2.a.s

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{3} + q^{4} - 2q^{5} - q^{6} + q^{7} - q^{8} + q^{9} + 2q^{10} - 2q^{11} + q^{12} + 4q^{13} - q^{14} - 2q^{15} + q^{16} + q^{17} - q^{18} + O(q^{20})\)  Toggle raw display