Properties

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

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Show commands: SageMath
E = EllipticCurve("e1")
 
E.isogeny_class()
 

Elliptic curves in class 26640.e

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
26640.e1 26640f1 \([0, 0, 0, -1106643, -455803342]\) \(-100389630395083682/2018931072975\) \(-3014247940503091200\) \([]\) \(599040\) \(2.3382\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 26640.e1 has rank \(0\).

Complex multiplication

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

Modular form 26640.2.a.e

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