Properties

Label 112632.u
Number of curves $1$
Conductor $112632$
CM no
Rank $2$

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

Elliptic curves in class 112632.u

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
112632.u1 112632g1 \([0, 1, 0, 792, -40743]\) \(500000000/6908733\) \(-758191994352\) \([]\) \(115200\) \(0.96025\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 112632.u1 has rank \(2\).

Complex multiplication

The elliptic curves in class 112632.u do not have complex multiplication.

Modular form 112632.2.a.u

sage: E.q_eigenform(10)
 
\(q + q^{3} - 2 q^{7} + q^{9} - 2 q^{11} - q^{13} - 7 q^{17} + O(q^{20})\) Copy content Toggle raw display