Properties

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

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Show commands: SageMath
E = EllipticCurve("d1")
 
E.isogeny_class()
 

Elliptic curves in class 2541.d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
2541.d1 2541g1 \([1, 1, 1, -3220, 69158]\) \(-30515071121161/85766121\) \(-10377700641\) \([]\) \(2592\) \(0.79421\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 2541.d1 has rank \(1\).

Complex multiplication

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

Modular form 2541.2.a.d

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