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Properties

Label 462462e
Number of curves $1$
Conductor $462462$
CM no
Rank $0$

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Show commands: SageMath
Copy content sage:E = EllipticCurve("e1") E.isogeny_class()
 

Rank

Copy content sage:E.rank()
 

The elliptic curve 462462e1 has rank \(0\).

Complex multiplication

The elliptic curves in class 462462e do not have complex multiplication.

Modular form 462462.2.a.e

Copy content sage:E.q_eigenform(10)
 
\(q - q^{2} - q^{3} + q^{4} - 4 q^{5} + q^{6} - q^{8} + q^{9} + 4 q^{10} - q^{12} + q^{13} + 4 q^{15} + q^{16} + 3 q^{17} - q^{18} + 3 q^{19} + O(q^{20})\) Copy content Toggle raw display

Elliptic curves in class 462462e

Copy content sage:E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
462462.e1 462462e1 \([1, 1, 0, 50835123, -626518544175]\) \(29032124914751/355679845092\) \(-177990067312891277880824388\) \([]\) \(287884800\) \(3.7178\) \(\Gamma_0(N)\)-optimal