↑

Properties

Label 476100r
Number of curves $1$
Conductor $476100$
CM no
Rank $0$

Related objects

Downloads

Learn more

Show commands: SageMath
Copy content sage:E = EllipticCurve("r1") E.isogeny_class()
 

Rank

Copy content sage:E.rank()
 

The elliptic curve 476100r1 has rank \(0\).

Complex multiplication

The elliptic curves in class 476100r do not have complex multiplication.

Modular form 476100.2.a.r

Copy content sage:E.q_eigenform(10)
 
\(q - 3 q^{7} - 2 q^{11} + 2 q^{13} + 7 q^{17} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display

Elliptic curves in class 476100r

Copy content sage:E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
476100.r1 476100r1 \([0, 0, 0, -100615800, 544369830500]\) \(-260956266496/145546875\) \(-62828605568719687500000000\) \([]\) \(136249344\) \(3.6535\) \(\Gamma_0(N)\)-optimal