Properties

Label 30446.j
Number of curves $1$
Conductor $30446$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("j1")
 
E.isogeny_class()
 

Elliptic curves in class 30446.j

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
30446.j1 30446k1 \([1, 1, 1, -59, 9]\) \(22737343537/12665536\) \(12665536\) \([]\) \(6912\) \(0.053199\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 30446.j1 has rank \(1\).

Complex multiplication

The elliptic curves in class 30446.j do not have complex multiplication.

Modular form 30446.2.a.j

sage: E.q_eigenform(10)
 
\(q + q^{2} - q^{3} + q^{4} + 3 q^{5} - q^{6} + q^{7} + q^{8} - 2 q^{9} + 3 q^{10} - 3 q^{11} - q^{12} - q^{13} + q^{14} - 3 q^{15} + q^{16} - 6 q^{17} - 2 q^{18} - 4 q^{19} + O(q^{20})\) Copy content Toggle raw display