Properties

Label 26569b
Number of curves $1$
Conductor $26569$
CM no
Rank $0$

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

Elliptic curves in class 26569b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
26569.b1 26569b1 \([0, 0, 1, -53138, -5413434]\) \(-884736/163\) \(-3057125241215467\) \([]\) \(159408\) \(1.6960\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 26569b1 has rank \(0\).

Complex multiplication

The elliptic curves in class 26569b do not have complex multiplication.

Modular form 26569.2.a.b

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