Properties

Label 26656f
Number of curves $1$
Conductor $26656$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("f1")
 
E.isogeny_class()
 

Elliptic curves in class 26656f

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
26656.c1 26656f1 \([0, 1, 0, -16, 216]\) \(-392/17\) \(-20898304\) \([]\) \(4032\) \(0.084673\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 26656f1 has rank \(2\).

Complex multiplication

The elliptic curves in class 26656f do not have complex multiplication.

Modular form 26656.2.a.f

sage: E.q_eigenform(10)
 
\(q - 2 q^{3} - q^{5} + q^{9} - 4 q^{11} + 2 q^{13} + 2 q^{15} - q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display