Properties

Label 43200.jq
Number of curves $1$
Conductor $43200$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("jq1")
 
E.isogeny_class()
 

Elliptic curves in class 43200.jq

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
43200.jq1 43200bf1 \([0, 0, 0, -18300, -993000]\) \(-1568892672/78125\) \(-33750000000000\) \([]\) \(129024\) \(1.3570\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 43200.jq1 has rank \(1\).

Complex multiplication

The elliptic curves in class 43200.jq do not have complex multiplication.

Modular form 43200.2.a.jq

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