Properties

Label 334620.t
Number of curves $1$
Conductor $334620$
CM no
Rank $0$

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

Elliptic curves in class 334620.t

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
334620.t1 334620t1 \([0, 0, 0, -81189126408, 8904429061159268]\) \(-65703682316544535580729344/1954563946435546875\) \(-1760668081150878401287500000000\) \([]\) \(808980480\) \(4.9026\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 334620.t1 has rank \(0\).

Complex multiplication

The elliptic curves in class 334620.t do not have complex multiplication.

Modular form 334620.2.a.t

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