Properties

Label 25872bl
Number of curves $1$
Conductor $25872$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("bl1")
 
E.isogeny_class()
 

Elliptic curves in class 25872bl

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
25872.bc1 25872bl1 \([0, -1, 0, 1748, -19172]\) \(47061251888/39135393\) \(-490914369792\) \([]\) \(28800\) \(0.93101\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 25872bl1 has rank \(1\).

Complex multiplication

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

Modular form 25872.2.a.bl

sage: E.q_eigenform(10)
 
\(q - q^{3} + 2 q^{5} + q^{9} - q^{11} - 2 q^{13} - 2 q^{15} - 3 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display