Properties

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

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("bb1")
 
E.isogeny_class()
 

Elliptic curves in class 26775bb

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
26775.u1 26775bb1 \([0, 0, 1, -1070966550, -13492196207469]\) \(-11926249134908509075308544/2246680441062421875\) \(-25591094398976649169921875\) \([]\) \(8064000\) \(3.8769\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 26775bb1 has rank \(1\).

Complex multiplication

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

Modular form 26775.2.a.bb

sage: E.q_eigenform(10)
 
\(q - 2 q^{4} - q^{7} - 2 q^{11} + 5 q^{13} + 4 q^{16} + q^{17} + 2 q^{19} + O(q^{20})\) Copy content Toggle raw display