Properties

Label 25886.a
Number of curves $1$
Conductor $25886$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("a1")
 
E.isogeny_class()
 

Elliptic curves in class 25886.a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
25886.a1 25886d1 \([1, -1, 1, -2196, 102417]\) \(-185193/602\) \(-3805460555498\) \([]\) \(88704\) \(1.1003\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 25886.a1 has rank \(0\).

Complex multiplication

The elliptic curves in class 25886.a do not have complex multiplication.

Modular form 25886.2.a.a

sage: E.q_eigenform(10)
 
\(q + q^{2} - 3 q^{3} + q^{4} - 2 q^{5} - 3 q^{6} + q^{7} + q^{8} + 6 q^{9} - 2 q^{10} - 3 q^{11} - 3 q^{12} + 2 q^{13} + q^{14} + 6 q^{15} + q^{16} + 6 q^{18} - q^{19} + O(q^{20})\) Copy content Toggle raw display