Properties

Label 26775.l
Number of curves $1$
Conductor $26775$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("l1")
 
E.isogeny_class()
 

Elliptic curves in class 26775.l

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
26775.l1 26775a1 \([1, -1, 1, 10, 2]\) \(179685/119\) \(-80325\) \([]\) \(1920\) \(-0.37006\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 26775.l1 has rank \(1\).

Complex multiplication

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

Modular form 26775.2.a.l

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