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Properties

Label 466752bw
Number of curves $1$
Conductor $466752$
CM no
Rank $1$

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Show commands: SageMath
Copy content sage:E = EllipticCurve("bw1") E.isogeny_class()
 

Rank

Copy content sage:E.rank()
 

The elliptic curve 466752bw1 has rank \(1\).

Complex multiplication

The elliptic curves in class 466752bw do not have complex multiplication.

Modular form 466752.2.a.bw

Copy content sage:E.q_eigenform(10)
 
\(q - q^{3} + 2 q^{5} + q^{7} + q^{9} + q^{11} + q^{13} - 2 q^{15} + q^{17} + 8 q^{19} + O(q^{20})\) Copy content Toggle raw display

Elliptic curves in class 466752bw

Copy content sage:E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
466752.bw1 466752bw1 \([0, -1, 0, -23211617, -45278549247]\) \(-5275941807135921123097/326485867713527808\) \(-85586311305895033700352\) \([]\) \(44943360\) \(3.1546\) \(\Gamma_0(N)\)-optimal