Properties

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

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Show commands for: SageMath
sage: E = EllipticCurve("d1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 348726d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
348726.d1 348726d1 [1, 1, 0, 11058107, 13653108301] [] 46811520 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 348726d1 has rank \(1\).

Complex multiplication

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

Modular form 348726.2.a.d

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