Properties

Label 2574.i
Number of curves $1$
Conductor $2574$
CM no
Rank $0$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("i1")
 
E.isogeny_class()
 

Elliptic curves in class 2574.i

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
2574.i1 2574e1 \([1, -1, 0, -414, -3308]\) \(-10779215329/658944\) \(-480370176\) \([]\) \(1152\) \(0.42053\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 2574.i1 has rank \(0\).

Complex multiplication

The elliptic curves in class 2574.i do not have complex multiplication.

Modular form 2574.2.a.i

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} + q^{5} - 3 q^{7} - q^{8} - q^{10} - q^{11} - q^{13} + 3 q^{14} + q^{16} + 4 q^{17} - 2 q^{19} + O(q^{20})\) Copy content Toggle raw display