Properties

Label 331200j
Number of curves $1$
Conductor $331200$
CM no
Rank $1$

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

Elliptic curves in class 331200j

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
331200.j1 331200j1 \([0, 0, 0, 2310, -20990]\) \(1168724480/839523\) \(-979219627200\) \([]\) \(577536\) \(0.98923\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 331200j1 has rank \(1\).

Complex multiplication

The elliptic curves in class 331200j do not have complex multiplication.

Modular form 331200.2.a.j

sage: E.q_eigenform(10)
 
\(q - 5 q^{7} + 5 q^{13} - 4 q^{17} + 5 q^{19} + O(q^{20})\) Copy content Toggle raw display