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Properties

Label 451600b
Number of curves $1$
Conductor $451600$
CM no
Rank $0$

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Show commands: SageMath
Copy content sage:E = EllipticCurve("b1") E.isogeny_class()
 

Rank

Copy content sage:E.rank()
 

The elliptic curve 451600b1 has rank \(0\).

Complex multiplication

The elliptic curves in class 451600b do not have complex multiplication.

Modular form 451600.2.a.b

Copy content sage:E.q_eigenform(10)
 
\(q - 5 q^{7} - 3 q^{9} + 2 q^{11} + 4 q^{13} + 2 q^{17} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display

Elliptic curves in class 451600b

Copy content sage:E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
451600.b1 451600b1 \([0, 0, 0, -175, -375]\) \(2370816/1129\) \(282250000\) \([]\) \(138880\) \(0.31548\) \(\Gamma_0(N)\)-optimal