Properties

Label 416240.cj
Number of curves $1$
Conductor $416240$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("cj1")
 
E.isogeny_class()
 

Elliptic curves in class 416240.cj

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
416240.cj1 416240cj1 \([0, -1, 0, -40, -42480]\) \(-2/215\) \(-780053739520\) \([]\) \(627200\) \(0.96077\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 416240.cj1 has rank \(1\).

Complex multiplication

The elliptic curves in class 416240.cj do not have complex multiplication.

Modular form 416240.2.a.cj

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