Properties

Label 58443h
Number of curves $1$
Conductor $58443$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("h1")
 
E.isogeny_class()
 

Elliptic curves in class 58443h

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
58443.r1 58443h1 \([1, 1, 0, -265839, 52006398]\) \(9692612875033/135163203\) \(28973432947455843\) \([]\) \(485760\) \(1.9641\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 58443h1 has rank \(1\).

Complex multiplication

The elliptic curves in class 58443h do not have complex multiplication.

Modular form 58443.2.a.h

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