Properties

Label 25872.bw
Number of curves $1$
Conductor $25872$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("bw1")
 
E.isogeny_class()
 

Elliptic curves in class 25872.bw

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
25872.bw1 25872u1 \([0, 1, 0, -81356, 9223731]\) \(-31636584484096/1331669031\) \(-2506712477249904\) \([]\) \(138240\) \(1.7214\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 25872.bw1 has rank \(0\).

Complex multiplication

The elliptic curves in class 25872.bw do not have complex multiplication.

Modular form 25872.2.a.bw

sage: E.q_eigenform(10)
 
\(q + q^{3} - q^{5} + q^{9} + q^{11} - 3 q^{13} - q^{15} + 7 q^{19} + O(q^{20})\) Copy content Toggle raw display