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Properties

Label 454272.bm
Number of curves $1$
Conductor $454272$
CM no
Rank $0$

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Show commands: SageMath
Copy content sage:E = EllipticCurve("bm1") E.isogeny_class()
 

Rank

Copy content sage:E.rank()
 

The elliptic curve 454272.bm1 has rank \(0\).

Complex multiplication

The elliptic curves in class 454272.bm do not have complex multiplication.

Modular form 454272.2.a.bm

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

Elliptic curves in class 454272.bm

Copy content sage:E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
454272.bm1 454272bm1 \([0, -1, 0, -1626681, -798109911]\) \(-12038741902688/1791153\) \(-70824373623005184\) \([]\) \(6580224\) \(2.2469\) \(\Gamma_0(N)\)-optimal