Properties

Label 30446.k
Number of curves $1$
Conductor $30446$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("k1")
 
E.isogeny_class()
 

Elliptic curves in class 30446.k

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
30446.k1 30446h1 \([1, -1, 1, 24326, -1846635]\) \(1592034799443503247/2384775152727292\) \(-2384775152727292\) \([]\) \(204480\) \(1.6361\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 30446.k1 has rank \(0\).

Complex multiplication

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

Modular form 30446.2.a.k

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