Properties

Label 221067.t
Number of curves $1$
Conductor $221067$
CM no
Rank $0$

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

Elliptic curves in class 221067.t

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
221067.t1 221067r1 \([0, 0, 1, -35393952, 60938173579]\) \(31379200581566464/7893440560341\) \(1233489203515183399308909\) \([]\) \(24161280\) \(3.3326\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 221067.t1 has rank \(0\).

Complex multiplication

The elliptic curves in class 221067.t do not have complex multiplication.

Modular form 221067.2.a.t

sage: E.q_eigenform(10)
 
\(q - 2 q^{4} + q^{5} + q^{7} + 4 q^{16} - 3 q^{17} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display