Properties

Label 132600.t
Number of curves $1$
Conductor $132600$
CM no
Rank $1$

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

Elliptic curves in class 132600.t

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
132600.t1 132600cb1 \([0, -1, 0, 12, -603]\) \(87808/77571\) \(-155142000\) \([]\) \(43008\) \(0.25067\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 132600.t1 has rank \(1\).

Complex multiplication

The elliptic curves in class 132600.t do not have complex multiplication.

Modular form 132600.2.a.t

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{7} + q^{9} + 5 q^{11} - q^{13} + q^{17} - 3 q^{19} + O(q^{20})\) Copy content Toggle raw display