Properties

Label 338130.bt
Number of curves $1$
Conductor $338130$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("bt1")
 
E.isogeny_class()
 

Elliptic curves in class 338130.bt

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
338130.bt1 338130bt1 \([1, -1, 0, -210537999, 1175988134893]\) \(-16950869189311243954609/1791373816627200\) \(-109071035420581350604800\) \([]\) \(73716480\) \(3.4519\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 338130.bt1 has rank \(0\).

Complex multiplication

The elliptic curves in class 338130.bt do not have complex multiplication.

Modular form 338130.2.a.bt

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} + q^{5} + 2 q^{7} - q^{8} - q^{10} - 2 q^{11} - q^{13} - 2 q^{14} + q^{16} - 7 q^{19} + O(q^{20})\) Copy content Toggle raw display