Properties

Label 2352.o
Number of curves $1$
Conductor $2352$
CM no
Rank $1$

Related objects

Downloads

Learn more about

Show commands for: SageMath
sage: E = EllipticCurve("o1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 2352.o

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
2352.o1 2352s1 \([0, 1, 0, 131, 167]\) \(401408/243\) \(-149361408\) \([]\) \(720\) \(0.25773\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 2352.o1 has rank \(1\).

Complex multiplication

The elliptic curves in class 2352.o do not have complex multiplication.

Modular form 2352.2.a.o

sage: E.q_eigenform(10)
 
\(q + q^{3} - 2q^{5} + q^{9} - 2q^{11} - 3q^{13} - 2q^{15} + 8q^{17} + q^{19} + O(q^{20})\)  Toggle raw display