Properties

Label 66270t
Number of curves $1$
Conductor $66270$
CM no
Rank $0$

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

Elliptic curves in class 66270t

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
66270.v1 66270t1 \([1, 1, 1, 417455, -991796305]\) \(7189057/384000\) \(-429746101671462528000\) \([]\) \(3790080\) \(2.6388\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 66270t1 has rank \(0\).

Complex multiplication

The elliptic curves in class 66270t do not have complex multiplication.

Modular form 66270.2.a.t

sage: E.q_eigenform(10)
 
\(q + q^{2} - q^{3} + q^{4} + q^{5} - q^{6} + 3 q^{7} + q^{8} + q^{9} + q^{10} - 2 q^{11} - q^{12} + 5 q^{13} + 3 q^{14} - q^{15} + q^{16} - q^{17} + q^{18} + 5 q^{19} + O(q^{20})\) Copy content Toggle raw display