Properties

Label 363726.u
Number of curves $1$
Conductor $363726$
CM no
Rank $1$

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

Elliptic curves in class 363726.u

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
363726.u1 363726u1 \([1, -1, 0, -594072, 176391760]\) \(-17953855881625/264528\) \(-341629438903632\) \([]\) \(4055040\) \(1.9264\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 363726.u1 has rank \(1\).

Complex multiplication

The elliptic curves in class 363726.u do not have complex multiplication.

Modular form 363726.2.a.u

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} + q^{7} - q^{8} + 5 q^{13} - q^{14} + q^{16} - 7 q^{17} + 7 q^{19} + O(q^{20})\) Copy content Toggle raw display