Properties

Label 497080l
Number of curves $1$
Conductor $497080$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("l1")
 
E.isogeny_class()
 

Elliptic curves in class 497080l

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
497080.l1 497080l1 \([0, -1, 0, -96, -156820]\) \(-2/215\) \(-10628254382080\) \([]\) \(1032192\) \(1.1784\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 497080l1 has rank \(0\).

Complex multiplication

The elliptic curves in class 497080l do not have complex multiplication.

Modular form 497080.2.a.l

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