Properties

Label 236992e
Number of curves $1$
Conductor $236992$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("e1")
 
E.isogeny_class()
 

Elliptic curves in class 236992e

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
236992.e1 236992e1 \([0, 0, 0, -17814604, -29363059112]\) \(-4124632486295808/70140333767\) \(-10632485543889473395712\) \([]\) \(22708224\) \(3.0251\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 236992e1 has rank \(1\).

Complex multiplication

The elliptic curves in class 236992e do not have complex multiplication.

Modular form 236992.2.a.e

sage: E.q_eigenform(10)
 
\(q - 3 q^{3} + 2 q^{5} + q^{7} + 6 q^{9} + 2 q^{11} + q^{13} - 6 q^{15} + 2 q^{19} + O(q^{20})\) Copy content Toggle raw display