Properties

Label 8400.j
Number of curves $1$
Conductor $8400$
CM no
Rank $0$

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

Elliptic curves in class 8400.j

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
8400.j1 8400l1 \([0, -1, 0, 15792, -1011213]\) \(69683121920/110270727\) \(-689192043750000\) \([]\) \(38400\) \(1.5324\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 8400.j1 has rank \(0\).

Complex multiplication

The elliptic curves in class 8400.j do not have complex multiplication.

Modular form 8400.2.a.j

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{7} + q^{9} + 3 q^{11} + 2 q^{13} - 4 q^{17} + 2 q^{19} + O(q^{20})\) Copy content Toggle raw display