Properties

Label 254320u
Number of curves $1$
Conductor $254320$
CM no
Rank $1$

Related objects

Downloads

Learn more

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

Elliptic curves in class 254320u

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
254320.u1 254320u1 \([0, -1, 0, -342680, -95651600]\) \(-3759529209744889/1171280000000\) \(-1386495672320000000\) \([]\) \(4354560\) \(2.1945\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 254320u1 has rank \(1\).

Complex multiplication

The elliptic curves in class 254320u do not have complex multiplication.

Modular form 254320.2.a.u

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{5} + 5 q^{7} - 2 q^{9} - q^{11} - q^{15} - 4 q^{19} + O(q^{20})\) Copy content Toggle raw display