Properties

Label 61200cj
Number of curves $1$
Conductor $61200$
CM no
Rank $1$

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

Elliptic curves in class 61200cj

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
61200.q1 61200cj1 \([0, 0, 0, -4755, -134350]\) \(-63710026/4913\) \(-916883712000\) \([]\) \(103680\) \(1.0431\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 61200cj1 has rank \(1\).

Complex multiplication

The elliptic curves in class 61200cj do not have complex multiplication.

Modular form 61200.2.a.cj

sage: E.q_eigenform(10)
 
\(q - 4 q^{7} + 2 q^{11} + 5 q^{13} - q^{17} + 7 q^{19} + O(q^{20})\) Copy content Toggle raw display