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Properties

Label 348726.u
Number of curves $1$
Conductor $348726$
CM no
Rank $0$

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Show commands for: SageMath
sage: E = EllipticCurve("u1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 348726.u

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
348726.u1 348726u1 [1, 0, 1, -3065259, -2070322922] [] 10571904 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 348726.u1 has rank \(0\).

Complex multiplication

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

Modular form 348726.2.a.u

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