Properties

Label 2601.l
Number of curves $1$
Conductor $2601$
CM no
Rank $1$

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

Elliptic curves in class 2601.l

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
2601.l1 2601c1 \([0, 0, 1, -7803, -298465]\) \(-110592/17\) \(-8076696100659\) \([]\) \(6912\) \(1.2057\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 2601.l1 has rank \(1\).

Complex multiplication

The elliptic curves in class 2601.l do not have complex multiplication.

Modular form 2601.2.a.l

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