Properties

Label 92778.o
Number of curves $1$
Conductor $92778$
CM no
Rank $0$

Related objects

Downloads

Learn more

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

Elliptic curves in class 92778.o

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
92778.o1 92778r1 \([1, 1, 1, -19620384, -33471575979]\) \(-15880626913/6804\) \(-357884495732587653396\) \([]\) \(6948480\) \(2.9042\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 92778.o1 has rank \(0\).

Complex multiplication

The elliptic curves in class 92778.o do not have complex multiplication.

Modular form 92778.2.a.o

sage: E.q_eigenform(10)
 
\(q + q^{2} - q^{3} + q^{4} - 2 q^{5} - q^{6} + q^{7} + q^{8} + q^{9} - 2 q^{10} + q^{11} - q^{12} + 6 q^{13} + q^{14} + 2 q^{15} + q^{16} - q^{17} + q^{18} + O(q^{20})\) Copy content Toggle raw display