Properties

Label 249090.g
Number of curves $1$
Conductor $249090$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("g1")
 
E.isogeny_class()
 

Elliptic curves in class 249090.g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
249090.g1 249090g1 \([1, 1, 0, 178327, 119730693]\) \(13330597374431/139186667520\) \(-6548159396932485120\) \([]\) \(5184000\) \(2.2915\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 249090.g1 has rank \(1\).

Complex multiplication

The elliptic curves in class 249090.g do not have complex multiplication.

Modular form 249090.2.a.g

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