Properties

Label 58443b
Number of curves $1$
Conductor $58443$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("b1")
 
E.isogeny_class()
 

Elliptic curves in class 58443b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
58443.n1 58443b1 \([1, 1, 0, 21756, -410571]\) \(9411184794706607/6074987633001\) \(-735073503593121\) \([]\) \(247296\) \(1.5415\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 58443b1 has rank \(2\).

Complex multiplication

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

Modular form 58443.2.a.b

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