Properties

Label 344760.u
Number of curves $1$
Conductor $344760$
CM no
Rank $1$

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

Elliptic curves in class 344760.u

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
344760.u1 344760u1 \([0, -1, 0, 54700, 13974297]\) \(234367644416/1230836295\) \(-95056187299722480\) \([]\) \(2903040\) \(1.9399\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 344760.u1 has rank \(1\).

Complex multiplication

The elliptic curves in class 344760.u do not have complex multiplication.

Modular form 344760.2.a.u

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{5} - 3 q^{7} + q^{9} - 3 q^{11} - q^{15} - q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display