Properties

Label 338130.o
Number of curves $1$
Conductor $338130$
CM no
Rank $0$

Related objects

Downloads

Learn more

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

Elliptic curves in class 338130.o

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
338130.o1 338130o1 \([1, -1, 0, -15660, 2590456]\) \(-83521/520\) \(-2644370130734280\) \([]\) \(1938816\) \(1.6429\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 338130.o1 has rank \(0\).

Complex multiplication

The elliptic curves in class 338130.o do not have complex multiplication.

Modular form 338130.2.a.o

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} - q^{5} - 2 q^{7} - q^{8} + q^{10} + 4 q^{11} + q^{13} + 2 q^{14} + q^{16} + 2 q^{19} + O(q^{20})\) Copy content Toggle raw display