Properties

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

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Show commands: SageMath
E = EllipticCurve("a1")
 
E.isogeny_class()
 

Elliptic curves in class 135240.a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
135240.a1 135240bq1 \([0, -1, 0, -18911076, -31609055799]\) \(165490120517698816/230982890625\) \(1043951192704586250000\) \([]\) \(9596160\) \(2.9370\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 135240.a1 has rank \(0\).

Complex multiplication

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

Modular form 135240.2.a.a

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{5} + q^{9} - 5 q^{11} - 4 q^{13} + q^{15} - 2 q^{17} - 4 q^{19} + O(q^{20})\) Copy content Toggle raw display