Properties

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

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

Elliptic curves in class 26640v

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
26640.w1 26640v1 \([0, 0, 0, -997323, 390694522]\) \(-991990479802737267/22190066240000\) \(-2454043805614080000\) \([]\) \(414720\) \(2.3171\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 26640v1 has rank \(1\).

Complex multiplication

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

Modular form 26640.2.a.v

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