Properties

Label 84672kb
Number of curves $1$
Conductor $84672$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("kb1")
 
E.isogeny_class()
 

Elliptic curves in class 84672kb

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
84672.ia1 84672kb1 \([0, 0, 0, -294, 2058]\) \(-13824\) \(-203297472\) \([]\) \(31680\) \(0.34378\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 84672kb1 has rank \(0\).

Complex multiplication

The elliptic curves in class 84672kb do not have complex multiplication.

Modular form 84672.2.a.kb

sage: E.q_eigenform(10)
 
\(q + 2 q^{5} - 6 q^{11} - 3 q^{13} + 2 q^{17} - 3 q^{19} + O(q^{20})\) Copy content Toggle raw display