Properties

Label 151725.u
Number of curves $1$
Conductor $151725$
CM no
Rank $2$

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

Elliptic curves in class 151725.u

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
151725.u1 151725bc1 \([1, 1, 1, 147, -1374]\) \(48601895/151263\) \(-1092875175\) \([]\) \(56160\) \(0.41760\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 151725.u1 has rank \(2\).

Complex multiplication

The elliptic curves in class 151725.u do not have complex multiplication.

Modular form 151725.2.a.u

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