Properties

Label 338130.cj
Number of curves $1$
Conductor $338130$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("cj1")
 
E.isogeny_class()
 

Elliptic curves in class 338130.cj

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
338130.cj1 338130cj1 \([1, -1, 1, -11401538, 14826394977]\) \(-32232581852761/13646880\) \(-69398849710990444320\) \([]\) \(27417600\) \(2.7681\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 338130.cj1 has rank \(0\).

Complex multiplication

The elliptic curves in class 338130.cj do not have complex multiplication.

Modular form 338130.2.a.cj

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{4} - q^{5} - 4 q^{7} + q^{8} - q^{10} - 4 q^{11} - q^{13} - 4 q^{14} + q^{16} + O(q^{20})\) Copy content Toggle raw display