Properties

Label 135240.dt
Number of curves $1$
Conductor $135240$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("dt1")
 
E.isogeny_class()
 

Elliptic curves in class 135240.dt

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
135240.dt1 135240i1 \([0, 1, 0, 11205, 253350]\) \(34420736/25875\) \(-116944753086000\) \([]\) \(475776\) \(1.3876\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 135240.dt1 has rank \(0\).

Complex multiplication

The elliptic curves in class 135240.dt do not have complex multiplication.

Modular form 135240.2.a.dt

sage: E.q_eigenform(10)
 
\(q + q^{3} + q^{5} + q^{9} + 6 q^{11} + q^{15} + q^{17} - 8 q^{19} + O(q^{20})\) Copy content Toggle raw display