Properties

Label 274890.cj
Number of curves $1$
Conductor $274890$
CM no
Rank $1$

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

Elliptic curves in class 274890.cj

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
274890.cj1 274890cj1 \([1, 0, 1, -3799, -90604]\) \(-51520374361/117810\) \(-13860228690\) \([]\) \(414720\) \(0.82750\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 274890.cj1 has rank \(1\).

Complex multiplication

The elliptic curves in class 274890.cj do not have complex multiplication.

Modular form 274890.2.a.cj

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{3} + q^{4} - q^{5} - q^{6} - q^{8} + q^{9} + q^{10} + q^{11} + q^{12} + 5 q^{13} - q^{15} + q^{16} + q^{17} - q^{18} + 5 q^{19} + O(q^{20})\) Copy content Toggle raw display