↑

Properties

Label 435600.rp
Number of curves $1$
Conductor $435600$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
Copy content sage:E = EllipticCurve("rp1") E.isogeny_class()
 

Rank

Copy content sage:E.rank()
 

The elliptic curve 435600.rp1 has rank \(1\).

Complex multiplication

The elliptic curves in class 435600.rp do not have complex multiplication.

Modular form 435600.2.a.rp

Copy content sage:E.q_eigenform(10)
 
\(q + 3 q^{7} + 3 q^{13} - q^{17} - 5 q^{19} + O(q^{20})\) Copy content Toggle raw display

Elliptic curves in class 435600.rp

Copy content sage:E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
435600.rp1 435600rp1 \([0, 0, 0, -368454075, -2695667977750]\) \(14934427706187/167772160\) \(62144845886395514880000000\) \([]\) \(121651200\) \(3.7631\) \(\Gamma_0(N)\)-optimal