Properties

Label 369600tf
Number of curves $1$
Conductor $369600$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("tf1")
 
E.isogeny_class()
 

Elliptic curves in class 369600tf

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
369600.tf1 369600tf1 \([0, 1, 0, -574133, -167678637]\) \(-81756451446784/24958395\) \(-6389349120000000\) \([]\) \(3317760\) \(2.0099\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 369600tf1 has rank \(0\).

Complex multiplication

The elliptic curves in class 369600tf do not have complex multiplication.

Modular form 369600.2.a.tf

sage: E.q_eigenform(10)
 
\(q + q^{3} + q^{7} + q^{9} - q^{11} + 2 q^{13} + 7 q^{17} + 3 q^{19} + O(q^{20})\) Copy content Toggle raw display