Properties

Label 311904.j
Number of curves $1$
Conductor $311904$
CM no
Rank $0$

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

Elliptic curves in class 311904.j

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
311904.j1 311904j1 \([0, 0, 0, 8664, -109744]\) \(1536\) \(-46826082643968\) \([]\) \(648000\) \(1.3120\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 311904.j1 has rank \(0\).

Complex multiplication

The elliptic curves in class 311904.j do not have complex multiplication.

Modular form 311904.2.a.j

sage: E.q_eigenform(10)
 
\(q - 2 q^{5} - q^{7} + 2 q^{11} - q^{13} - 6 q^{17} + O(q^{20})\) Copy content Toggle raw display