Properties

Label 249090y
Number of curves $1$
Conductor $249090$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("y1")
 
E.isogeny_class()
 

Elliptic curves in class 249090y

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
249090.y1 249090y1 \([1, 1, 0, -895287, -865695339]\) \(-1686901403185921/5899500000000\) \(-277547174959500000000\) \([]\) \(12441600\) \(2.6087\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 249090y1 has rank \(0\).

Complex multiplication

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

Modular form 249090.2.a.y

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