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Properties

Label 462462.ew
Number of curves $1$
Conductor $462462$
CM no
Rank $1$

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Show commands: SageMath
Copy content sage:E = EllipticCurve("ew1") E.isogeny_class()
 

Rank

Copy content sage:E.rank()
 

The elliptic curve 462462.ew1 has rank \(1\).

Complex multiplication

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

Modular form 462462.2.a.ew

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

Elliptic curves in class 462462.ew

Copy content sage:E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
462462.ew1 462462ew1 \([1, 0, 1, -7670, -253816]\) \(8414861188657/199360512\) \(1182008475648\) \([]\) \(940032\) \(1.1017\) \(\Gamma_0(N)\)-optimal