Properties

Label 226512.et
Number of curves $1$
Conductor $226512$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("et1")
 
E.isogeny_class()
 

Elliptic curves in class 226512.et

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
226512.et1 226512cl1 \([0, 0, 0, -20635824, -36088776592]\) \(-1518309117952/369603\) \(-236572601242841690112\) \([]\) \(11827200\) \(2.8979\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 226512.et1 has rank \(1\).

Complex multiplication

The elliptic curves in class 226512.et do not have complex multiplication.

Modular form 226512.2.a.et

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