Properties

Label 2790.l
Number of curves $1$
Conductor $2790$
CM no
Rank $1$

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

Elliptic curves in class 2790.l

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
2790.l1 2790j1 \([1, -1, 0, -207459, -36507587]\) \(-1354547383894636849/8173828125000\) \(-5958720703125000\) \([]\) \(37440\) \(1.8665\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 2790.l1 has rank \(1\).

Complex multiplication

The elliptic curves in class 2790.l do not have complex multiplication.

Modular form 2790.2.a.l

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} + q^{5} + 3 q^{7} - q^{8} - q^{10} - 5 q^{11} - 6 q^{13} - 3 q^{14} + q^{16} + 4 q^{17} + 5 q^{19} + O(q^{20})\) Copy content Toggle raw display