Properties

Label 92778.u
Number of curves $1$
Conductor $92778$
CM no
Rank $2$

Related objects

Downloads

Learn more

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

Elliptic curves in class 92778.u

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
92778.u1 92778z1 \([1, 0, 0, -140, 816]\) \(-137437729/54432\) \(-120240288\) \([]\) \(57600\) \(0.25936\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 92778.u1 has rank \(2\).

Complex multiplication

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

Modular form 92778.2.a.u

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{3} + q^{4} - 4 q^{5} + q^{6} - q^{7} + q^{8} + q^{9} - 4 q^{10} + q^{12} - 5 q^{13} - q^{14} - 4 q^{15} + q^{16} - 2 q^{17} + q^{18} - 4 q^{19} + O(q^{20})\) Copy content Toggle raw display