Properties

Label 26010a
Number of curves $1$
Conductor $26010$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("a1")
 
E.isogeny_class()
 

Elliptic curves in class 26010a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
26010.e1 26010a1 \([1, -1, 0, -1635, -52075]\) \(-85003587/160000\) \(-910141920000\) \([]\) \(27648\) \(0.98459\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 26010a1 has rank \(1\).

Complex multiplication

The elliptic curves in class 26010a do not have complex multiplication.

Modular form 26010.2.a.a

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} - q^{5} - q^{7} - q^{8} + q^{10} + 2 q^{11} - 3 q^{13} + q^{14} + q^{16} + q^{19} + O(q^{20})\) Copy content Toggle raw display