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Properties

Label 486720bw
Number of curves $1$
Conductor $486720$
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 486720bw1 has rank \(1\).

Complex multiplication

The elliptic curves in class 486720bw do not have complex multiplication.

Modular form 486720.2.a.bw

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

Elliptic curves in class 486720bw

Copy content sage:E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
486720.bw1 486720bw1 \([0, 0, 0, 23004852, 17756899472]\) \(41689615345255319/28343520000000\) \(-915393742771322880000000\) \([]\) \(62447616\) \(3.2865\) \(\Gamma_0(N)\)-optimal