Properties

Label 6768t
Number of curves $1$
Conductor $6768$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("t1")
 
E.isogeny_class()
 

Elliptic curves in class 6768t

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
6768.t1 6768t1 \([0, 0, 0, -1776, 10928]\) \(207474688/102789\) \(306926309376\) \([]\) \(8960\) \(0.89719\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 6768t1 has rank \(0\).

Complex multiplication

The elliptic curves in class 6768t do not have complex multiplication.

Modular form 6768.2.a.t

sage: E.q_eigenform(10)
 
\(q + 3 q^{5} + 3 q^{7} - 5 q^{11} + 2 q^{13} + 6 q^{17} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display