Properties

Label 103056.u
Number of curves $1$
Conductor $103056$
CM no
Rank $2$

Related objects

Downloads

Learn more

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

Elliptic curves in class 103056.u

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
103056.u1 103056bc1 \([0, 1, 0, 1768, 5844]\) \(149129953127/89214291\) \(-365421735936\) \([]\) \(100352\) \(0.90799\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 103056.u1 has rank \(2\).

Complex multiplication

The elliptic curves in class 103056.u do not have complex multiplication.

Modular form 103056.2.a.u

sage: E.q_eigenform(10)
 
\(q + q^{3} - 3 q^{5} + q^{7} + q^{9} - q^{13} - 3 q^{15} - 3 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display