Properties

Label 13200.f
Number of curves $1$
Conductor $13200$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("f1")
 
E.isogeny_class()
 

Elliptic curves in class 13200.f

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
13200.f1 13200cb1 \([0, -1, 0, -308, 2412]\) \(-20261200/2673\) \(-427680000\) \([]\) \(5760\) \(0.38904\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 13200.f1 has rank \(0\).

Complex multiplication

The elliptic curves in class 13200.f do not have complex multiplication.

Modular form 13200.2.a.f

sage: E.q_eigenform(10)
 
\(q - q^{3} - 3 q^{7} + q^{9} + q^{11} + 4 q^{13} - q^{17} + 7 q^{19} + O(q^{20})\) Copy content Toggle raw display