Properties

Label 399424j
Number of curves $1$
Conductor $399424$
CM no
Rank $0$

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

Elliptic curves in class 399424j

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
399424.j1 399424j1 \([0, -1, 0, -1406305, -604033567]\) \(4826809/316\) \(20136758069070659584\) \([]\) \(9584640\) \(2.4539\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 399424j1 has rank \(0\).

Complex multiplication

The elliptic curves in class 399424j do not have complex multiplication.

Modular form 399424.2.a.j

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{5} + 3 q^{7} - 2 q^{9} - 4 q^{11} + 7 q^{13} - q^{15} + 4 q^{17} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display