Properties

Label 26775f
Number of curves $1$
Conductor $26775$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("f1")
 
E.isogeny_class()
 

Elliptic curves in class 26775f

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
26775.g1 26775f1 \([0, 0, 1, -10389375, -12725052344]\) \(470357606027980800/6896562077111\) \(1818429453925751953125\) \([]\) \(1814400\) \(2.8827\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 26775f1 has rank \(0\).

Complex multiplication

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

Modular form 26775.2.a.f

sage: E.q_eigenform(10)
 
\(q - 2 q^{2} + 2 q^{4} + q^{7} - 3 q^{11} - 2 q^{14} - 4 q^{16} - q^{17} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display