Properties

Label 46200by
Number of curves $1$
Conductor $46200$
CM no
Rank $1$

Related objects

Downloads

Learn more

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

Elliptic curves in class 46200by

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
46200.t1 46200by1 \([0, -1, 0, -41508, 3385137]\) \(-31636584484096/1331669031\) \(-332917257750000\) \([]\) \(201600\) \(1.5532\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 46200by1 has rank \(1\).

Complex multiplication

The elliptic curves in class 46200by do not have complex multiplication.

Modular form 46200.2.a.by

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{7} + q^{9} - q^{11} - 3 q^{13} + 7 q^{19} + O(q^{20})\) Copy content Toggle raw display