Properties

Label 32368.c
Number of curves $1$
Conductor $32368$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("c1")
 
E.isogeny_class()
 

Elliptic curves in class 32368.c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
32368.c1 32368u1 \([0, 0, 0, -82061839, 286127745178]\) \(34222845097047888/823543\) \(1470678069819766528\) \([]\) \(4112640\) \(3.0063\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 32368.c1 has rank \(1\).

Complex multiplication

The elliptic curves in class 32368.c do not have complex multiplication.

Modular form 32368.2.a.c

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