Properties

Label 69360l
Number of curves $1$
Conductor $69360$
CM no
Rank $0$

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

Elliptic curves in class 69360l

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
69360.j1 69360l1 \([0, -1, 0, -8930196, -10898969904]\) \(-44103737752144/3228504075\) \(-5765442899066898451200\) \([]\) \(3329280\) \(2.9248\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 69360l1 has rank \(0\).

Complex multiplication

The elliptic curves in class 69360l do not have complex multiplication.

Modular form 69360.2.a.l

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