↑

Properties

Label 412200.w
Number of curves $1$
Conductor $412200$
CM no
Rank $0$

Related objects

Downloads

Learn more

Show commands: SageMath
Copy content sage:E = EllipticCurve("w1") E.isogeny_class()
 

Rank

Copy content sage:E.rank()
 

The elliptic curve 412200.w1 has rank \(0\).

Complex multiplication

The elliptic curves in class 412200.w do not have complex multiplication.

Modular form 412200.2.a.w

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

Elliptic curves in class 412200.w

Copy content sage:E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
412200.w1 412200w1 \([0, 0, 0, -51300, -4495500]\) \(-189637632/1145\) \(-90148140000000\) \([]\) \(1677312\) \(1.5172\) \(\Gamma_0(N)\)-optimal