Properties

Label 247962j
Number of curves $1$
Conductor $247962$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("j1")
 
E.isogeny_class()
 

Elliptic curves in class 247962j

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
247962.j1 247962j1 \([1, 1, 0, -44044, 3987808]\) \(-1923324734457881/298180952784\) \(-1464963021027792\) \([]\) \(1655808\) \(1.6389\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 247962j1 has rank \(0\).

Complex multiplication

The elliptic curves in class 247962j do not have complex multiplication.

Modular form 247962.2.a.j

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{3} + q^{4} + 2 q^{5} + q^{6} + 3 q^{7} - q^{8} + q^{9} - 2 q^{10} + q^{11} - q^{12} - q^{13} - 3 q^{14} - 2 q^{15} + q^{16} - q^{18} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display