Properties

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

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Show commands: SageMath
E = EllipticCurve("v1")
 
E.isogeny_class()
 

Elliptic curves in class 26640.v

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
26640.v1 26640r1 \([0, 0, 0, 14877, 254178]\) \(4516672077/2960000\) \(-238639841280000\) \([]\) \(64512\) \(1.4477\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 26640.v1 has rank \(0\).

Complex multiplication

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

Modular form 26640.2.a.v

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