Properties

Label 168300.by
Number of curves $1$
Conductor $168300$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("by1")
 
E.isogeny_class()
 

Elliptic curves in class 168300.by

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
168300.by1 168300q1 \([0, 0, 0, 1050000, 1322822500]\) \(1756160000000/11385833283\) \(-830027246330700000000\) \([]\) \(7603200\) \(2.6958\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 168300.by1 has rank \(1\).

Complex multiplication

The elliptic curves in class 168300.by do not have complex multiplication.

Modular form 168300.2.a.by

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