Properties

Label 489762t
Number of curves $1$
Conductor $489762$
CM no
Rank $0$

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

Elliptic curves in class 489762t

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
489762.t1 489762t1 \([1, -1, 0, -6649083, -11161612539]\) \(-54668186185873/58893341472\) \(-35021967659868191996448\) \([]\) \(41932800\) \(3.0208\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 489762t1 has rank \(0\).

Complex multiplication

The elliptic curves in class 489762t do not have complex multiplication.

Modular form 489762.2.a.t

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