Properties

Label 231192.u
Number of curves $1$
Conductor $231192$
CM no
Rank $0$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("u1")
 
E.isogeny_class()
 

Elliptic curves in class 231192.u

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
231192.u1 231192u1 \([0, 0, 0, -12675, 786526]\) \(-31250/19\) \(-136921357228032\) \([]\) \(561600\) \(1.4146\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 231192.u1 has rank \(0\).

Complex multiplication

The elliptic curves in class 231192.u do not have complex multiplication.

Modular form 231192.2.a.u

sage: E.q_eigenform(10)
 
\(q - 3 q^{7} + 2 q^{11} + 5 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display