Properties

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

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Show commands: SageMath
E = EllipticCurve("j1")
 
E.isogeny_class()
 

Elliptic curves in class 135240.j

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
135240.j1 135240bv1 \([0, -1, 0, 4464, -377460]\) \(98010576958/665230725\) \(-66757233715200\) \([]\) \(387072\) \(1.3344\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 135240.j1 has rank \(1\).

Complex multiplication

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

Modular form 135240.2.a.j

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{5} + q^{9} + q^{11} - 4 q^{13} + q^{15} + q^{17} + 8 q^{19} + O(q^{20})\) Copy content Toggle raw display