Properties

Label 26010.t
Number of curves $1$
Conductor $26010$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("t1")
 
E.isogeny_class()
 

Elliptic curves in class 26010.t

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
26010.t1 26010s1 \([1, -1, 0, 1222416, -479551712]\) \(2336752783/2500000\) \(-216126404915782500000\) \([]\) \(1142400\) \(2.5885\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 26010.t1 has rank \(1\).

Complex multiplication

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

Modular form 26010.2.a.t

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} + q^{5} - q^{8} - q^{10} - 6 q^{11} - 5 q^{13} + q^{16} - 3 q^{19} + O(q^{20})\) Copy content Toggle raw display