Properties

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

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Show commands: SageMath
E = EllipticCurve("b1")
 
E.isogeny_class()
 

Elliptic curves in class 25872b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
25872.a1 25872b1 \([0, -1, 0, -5945, -183819]\) \(-37811178496/2381643\) \(-1463891159808\) \([]\) \(79488\) \(1.0881\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 25872b1 has rank \(0\).

Complex multiplication

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

Modular form 25872.2.a.b

sage: E.q_eigenform(10)
 
\(q - q^{3} - 4 q^{5} + q^{9} + q^{11} - 5 q^{13} + 4 q^{15} - 6 q^{17} + 7 q^{19} + O(q^{20})\) Copy content Toggle raw display