Properties

Label 84150.fa
Number of curves $1$
Conductor $84150$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("fa1")
 
E.isogeny_class()
 

Elliptic curves in class 84150.fa

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
84150.fa1 84150dx1 \([1, -1, 1, 439495, 307089497]\) \(22253722294800933/109514680000000\) \(-46201505625000000000\) \([]\) \(2419200\) \(2.4556\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 84150.fa1 has rank \(1\).

Complex multiplication

The elliptic curves in class 84150.fa do not have complex multiplication.

Modular form 84150.2.a.fa

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{4} - q^{7} + q^{8} - q^{11} + 4 q^{13} - q^{14} + q^{16} + q^{17} - 2 q^{19} + O(q^{20})\) Copy content Toggle raw display