Properties

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

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Show commands: SageMath
E = EllipticCurve("la1")
 
E.isogeny_class()
 

Elliptic curves in class 84672.la

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
84672.la1 84672kx1 \([0, 0, 0, -21168, -1481760]\) \(-3072\) \(-341461686730752\) \([]\) \(380160\) \(1.5012\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 84672.la1 has rank \(0\).

Complex multiplication

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

Modular form 84672.2.a.la

sage: E.q_eigenform(10)
 
\(q + 4 q^{5} + 4 q^{11} + q^{13} + 4 q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display