Properties

Label 2160.l
Number of curves $1$
Conductor $2160$
CM no
Rank $0$

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

Elliptic curves in class 2160.l

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
2160.l1 2160i1 \([0, 0, 0, -183, 993]\) \(-1568892672/78125\) \(-33750000\) \([]\) \(672\) \(0.20567\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 2160.l1 has rank \(0\).

Complex multiplication

The elliptic curves in class 2160.l do not have complex multiplication.

Modular form 2160.2.a.l

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