Properties

Label 25688f
Number of curves $1$
Conductor $25688$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("f1")
 
E.isogeny_class()
 

Elliptic curves in class 25688f

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
25688.j1 25688f1 \([0, 1, 0, -1408, -29600]\) \(-31250/19\) \(-187820791808\) \([]\) \(18720\) \(0.86530\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 25688f1 has rank \(0\).

Complex multiplication

The elliptic curves in class 25688f do not have complex multiplication.

Modular form 25688.2.a.f

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