Properties

Label 2541.i
Number of curves $1$
Conductor $2541$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("i1")
 
E.isogeny_class()
 

Elliptic curves in class 2541.i

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
2541.i1 2541a1 \([1, 1, 0, -389622, -93997647]\) \(-30515071121161/85766121\) \(-18384729725270601\) \([]\) \(28512\) \(1.9932\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 2541.i1 has rank \(0\).

Complex multiplication

The elliptic curves in class 2541.i do not have complex multiplication.

Modular form 2541.2.a.i

sage: E.q_eigenform(10)
 
\(q + q^{2} - q^{3} - q^{4} + q^{5} - q^{6} - q^{7} - 3 q^{8} + q^{9} + q^{10} + q^{12} - 5 q^{13} - q^{14} - q^{15} - q^{16} + 7 q^{17} + q^{18} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display