Properties

Label 11830y
Number of curves $1$
Conductor $11830$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("y1")
 
E.isogeny_class()
 

Elliptic curves in class 11830y

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
11830.o1 11830y1 \([1, -1, 1, 33, -9]\) \(24191271/14000\) \(-2366000\) \([]\) \(4608\) \(-0.087474\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 11830y1 has rank \(1\).

Complex multiplication

The elliptic curves in class 11830y do not have complex multiplication.

Modular form 11830.2.a.y

sage: E.q_eigenform(10)
 
\(q + q^{2} - 3 q^{3} + q^{4} + q^{5} - 3 q^{6} - q^{7} + q^{8} + 6 q^{9} + q^{10} - 4 q^{11} - 3 q^{12} - q^{14} - 3 q^{15} + q^{16} + 5 q^{17} + 6 q^{18} - 2 q^{19} + O(q^{20})\) Copy content Toggle raw display