Properties

Label 89232.u
Number of curves $1$
Conductor $89232$
CM no
Rank $0$

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

Elliptic curves in class 89232.u

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
89232.u1 89232bc1 \([0, -1, 0, -90640, 10483264]\) \(703971110401/3897234\) \(455921255522304\) \([]\) \(481536\) \(1.6556\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 89232.u1 has rank \(0\).

Complex multiplication

The elliptic curves in class 89232.u do not have complex multiplication.

Modular form 89232.2.a.u

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{5} - 2 q^{7} + q^{9} - q^{11} - q^{15} + 7 q^{17} + 7 q^{19} + O(q^{20})\) Copy content Toggle raw display