Properties

Label 88725u
Number of curves $1$
Conductor $88725$
CM no
Rank $0$

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

Elliptic curves in class 88725u

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
88725.n1 88725u1 \([1, 1, 1, -4491263, 3631577906]\) \(1257715225/11907\) \(94852594677216796875\) \([]\) \(3369600\) \(2.6539\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 88725u1 has rank \(0\).

Complex multiplication

The elliptic curves in class 88725u do not have complex multiplication.

Modular form 88725.2.a.u

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{3} - q^{4} + q^{6} + q^{7} + 3 q^{8} + q^{9} + q^{11} + q^{12} - q^{14} - q^{16} + 8 q^{17} - q^{18} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display