Properties

Label 134640.l
Number of curves $1$
Conductor $134640$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("l1")
 
E.isogeny_class()
 

Elliptic curves in class 134640.l

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
134640.l1 134640bu1 \([0, 0, 0, -610923, 188496538]\) \(-8444922396903721/253364474880\) \(-756542268160081920\) \([]\) \(1935360\) \(2.2087\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 134640.l1 has rank \(1\).

Complex multiplication

The elliptic curves in class 134640.l do not have complex multiplication.

Modular form 134640.2.a.l

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