Properties

Label 85833.c
Number of curves $1$
Conductor $85833$
CM no
Rank $1$

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

Elliptic curves in class 85833.c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
85833.c1 85833g1 \([0, 0, 1, -23409, 1425998]\) \(-2985984/121\) \(-57487072245867\) \([]\) \(368640\) \(1.4081\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 85833.c1 has rank \(1\).

Complex multiplication

The elliptic curves in class 85833.c do not have complex multiplication.

Modular form 85833.2.a.c

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