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Properties

Label 453150.di
Number of curves $1$
Conductor $453150$
CM no
Rank $0$

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Show commands: SageMath
Copy content sage:E = EllipticCurve("di1") E.isogeny_class()
 

Rank

Copy content sage:E.rank()
 

The elliptic curve 453150.di1 has rank \(0\).

Complex multiplication

The elliptic curves in class 453150.di do not have complex multiplication.

Modular form 453150.2.a.di

Copy content sage:E.q_eigenform(10)
 
\(q + q^{2} + q^{4} - 2 q^{7} + q^{8} - 6 q^{11} - 2 q^{14} + q^{16} + 7 q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display

Elliptic curves in class 453150.di

Copy content sage:E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
453150.di1 453150di1 \([1, -1, 1, -728555, 239535947]\) \(6007345507825/16112\) \(114703593750000\) \([]\) \(5944320\) \(1.9323\) \(\Gamma_0(N)\)-optimal