Properties

Label 11550.cd
Number of curves $1$
Conductor $11550$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("cd1")
 
E.isogeny_class()
 

Elliptic curves in class 11550.cd

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
11550.cd1 11550bv1 \([1, 1, 1, -1288, -18349]\) \(-9452623635625/12201882\) \(-305047050\) \([]\) \(9120\) \(0.53555\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 11550.cd1 has rank \(0\).

Complex multiplication

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

Modular form 11550.2.a.cd

sage: E.q_eigenform(10)
 
\(q + q^{2} - q^{3} + q^{4} - q^{6} + q^{7} + q^{8} + q^{9} + q^{11} - q^{12} + 5 q^{13} + q^{14} + q^{16} + 5 q^{17} + q^{18} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display