↑

Properties

Label 407925.t
Number of curves $1$
Conductor $407925$
CM no
Rank $1$
Graph

Related objects

Downloads

Learn more

Show commands: SageMath
Copy content sage:E = EllipticCurve([1, -1, 1, -230, -3471478]) E.isogeny_class()
 

Rank

Copy content sage:E.rank()
 

The elliptic curve 407925.t1 has rank \(1\).

Complex multiplication

The elliptic curves in class 407925.t do not have complex multiplication.

Modular form 407925.2.a.t

Copy content sage:E.q_eigenform(10)
 
\(q - q^{2} - q^{4} + 3 q^{8} - 5 q^{11} + 4 q^{13} - q^{16} - 5 q^{17} - 8 q^{19} + O(q^{20})\) Copy content Toggle raw display

Isogeny graph

Copy content sage:E.isogeny_graph().plot(edge_labels=True)
 

Elliptic curves in class 407925.t

Copy content sage:E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
407925.t1 407925t1 \([1, -1, 1, -230, -3471478]\) \(-1/3885\) \(-5206271563828125\) \([]\) \(2211840\) \(1.6946\) \(\Gamma_0(N)\)-optimal