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Properties

Label 476525g
Number of curves $1$
Conductor $476525$
CM no
Rank $1$

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Show commands: SageMath
Copy content sage:E = EllipticCurve("g1") E.isogeny_class()
 

Rank

Copy content sage:E.rank()
 

The elliptic curve 476525g1 has rank \(1\).

Complex multiplication

The elliptic curves in class 476525g do not have complex multiplication.

Modular form 476525.2.a.g

Copy content sage:E.q_eigenform(10)
 
\(q + 2 q^{2} - 2 q^{3} + 2 q^{4} - 4 q^{6} + q^{9} - 4 q^{11} - 4 q^{12} - 3 q^{13} - 4 q^{16} - 6 q^{17} + 2 q^{18} - 5 q^{19} + O(q^{20})\) Copy content Toggle raw display

Elliptic curves in class 476525g

Copy content sage:E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
476525.g1 476525g1 \([0, 1, 1, -2858, -43431]\) \(1404928/389\) \(715085328125\) \([]\) \(1010880\) \(0.98203\) \(\Gamma_0(N)\)-optimal