Properties

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

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Show commands: SageMath
E = EllipticCurve("bi1")
 
E.isogeny_class()
 

Elliptic curves in class 26775bi

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
26775.a1 26775bi1 \([0, 0, 1, -283125, -15352344]\) \(352558182400/189724437\) \(1350674947001953125\) \([]\) \(474240\) \(2.1700\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 26775bi1 has rank \(1\).

Complex multiplication

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

Modular form 26775.2.a.bi

sage: E.q_eigenform(10)
 
\(q - 2 q^{2} + 2 q^{4} - q^{7} - q^{11} - 4 q^{13} + 2 q^{14} - 4 q^{16} + q^{17} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display