Properties

Label 26775q
Number of curves $1$
Conductor $26775$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("q1")
 
E.isogeny_class()
 

Elliptic curves in class 26775q

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
26775.q1 26775q1 \([1, -1, 1, 2320, -16928]\) \(179685/119\) \(-914951953125\) \([]\) \(28800\) \(0.98396\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 26775q1 has rank \(1\).

Complex multiplication

The elliptic curves in class 26775q do not have complex multiplication.

Modular form 26775.2.a.q

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{4} + q^{7} + 3 q^{8} - 2 q^{13} - q^{14} - q^{16} - q^{17} - 3 q^{19} + O(q^{20})\) Copy content Toggle raw display