Properties

Label 374790.w
Number of curves $1$
Conductor $374790$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("w1")
 
E.isogeny_class()
 

Elliptic curves in class 374790.w

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
374790.w1 374790w1 \([1, 1, 0, 3003, 44109]\) \(3114872914919/2628288000\) \(-2525784768000\) \([]\) \(907200\) \(1.0675\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 374790.w1 has rank \(1\).

Complex multiplication

The elliptic curves in class 374790.w do not have complex multiplication.

Modular form 374790.2.a.w

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