Properties

Label 11550q
Number of curves $1$
Conductor $11550$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("q1")
 
E.isogeny_class()
 

Elliptic curves in class 11550q

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
11550.k1 11550q1 \([1, 1, 0, -3075, 82125]\) \(-8236063705/2927232\) \(-1143450000000\) \([]\) \(30240\) \(1.0247\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 11550q1 has rank \(1\).

Complex multiplication

The elliptic curves in class 11550q do not have complex multiplication.

Modular form 11550.2.a.q

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{3} + q^{4} + q^{6} + q^{7} - q^{8} + q^{9} - q^{11} - q^{12} + 5 q^{13} - q^{14} + q^{16} - 7 q^{17} - q^{18} + O(q^{20})\) Copy content Toggle raw display