Properties

Label 26640b
Number of curves $1$
Conductor $26640$
CM no
Rank $0$

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

Elliptic curves in class 26640b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
26640.n1 26640b1 \([0, 0, 0, -1188, 17388]\) \(-36799488/4625\) \(-23304672000\) \([]\) \(16128\) \(0.72346\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 26640b1 has rank \(0\).

Complex multiplication

The elliptic curves in class 26640b do not have complex multiplication.

Modular form 26640.2.a.b

sage: E.q_eigenform(10)
 
\(q - q^{5} + 3 q^{13} - 4 q^{17} + 8 q^{19} + O(q^{20})\) Copy content Toggle raw display