Properties

Label 25392.u
Number of curves $1$
Conductor $25392$
CM no
Rank $0$

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

Elliptic curves in class 25392.u

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
25392.u1 25392bb1 \([0, 1, 0, 1026084, -31601304]\) \(11265584/6561\) \(-69580631058624278784\) \([]\) \(529920\) \(2.4969\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 25392.u1 has rank \(0\).

Complex multiplication

The elliptic curves in class 25392.u do not have complex multiplication.

Modular form 25392.2.a.u

sage: E.q_eigenform(10)
 
\(q + q^{3} - q^{5} - 2 q^{7} + q^{9} + q^{13} - q^{15} - 6 q^{17} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display