Properties

Label 133200.t
Number of curves $1$
Conductor $133200$
CM no
Rank $1$

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

Elliptic curves in class 133200.t

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
133200.t1 133200bt1 \([0, 0, 0, -19200, 974000]\) \(16777216/925\) \(43156800000000\) \([]\) \(414720\) \(1.3718\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 133200.t1 has rank \(1\).

Complex multiplication

The elliptic curves in class 133200.t do not have complex multiplication.

Modular form 133200.2.a.t

sage: E.q_eigenform(10)
 
\(q - 3 q^{7} - 5 q^{11} - 4 q^{13} - 4 q^{17} + 8 q^{19} + O(q^{20})\) Copy content Toggle raw display