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Properties

Label 462384.ex
Number of curves $1$
Conductor $462384$
CM no
Rank $0$

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Show commands: SageMath
Copy content sage:E = EllipticCurve("ex1") E.isogeny_class()
 

Rank

Copy content sage:E.rank()
 

The elliptic curve 462384.ex1 has rank \(0\).

Complex multiplication

The elliptic curves in class 462384.ex do not have complex multiplication.

Modular form 462384.2.a.ex

Copy content sage:E.q_eigenform(10)
 
\(q + 2 q^{5} + 2 q^{7} + 6 q^{11} - q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display

Elliptic curves in class 462384.ex

Copy content sage:E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
462384.ex1 462384ex1 \([0, 0, 0, 1521, 177957]\) \(6912/247\) \(-13906075343472\) \([]\) \(860160\) \(1.2019\) \(\Gamma_0(N)\)-optimal