Properties

Label 30446j
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 30446j

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
30446.l1 30446j1 \([1, 0, 0, -71366, -7344076]\) \(40197418128703495009/535118896\) \(535118896\) \([]\) \(96000\) \(1.2325\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

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

Complex multiplication

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

Modular form 30446.2.a.j

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