Properties

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

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Show commands: SageMath
E = EllipticCurve("r1")
 
E.isogeny_class()
 

Elliptic curves in class 26640.r

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
26640.r1 26640h1 \([0, 0, 0, -3963, -98422]\) \(-4610398322/134865\) \(-201352366080\) \([]\) \(27648\) \(0.94795\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 26640.r1 has rank \(1\).

Complex multiplication

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

Modular form 26640.2.a.r

sage: E.q_eigenform(10)
 
\(q - q^{5} + q^{7} + 3 q^{11} + 6 q^{13} - q^{17} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display