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Properties

Label 444600.di
Number of curves $1$
Conductor $444600$
CM no
Rank $1$

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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 444600.di1 has rank \(1\).

Complex multiplication

The elliptic curves in class 444600.di do not have complex multiplication.

Modular form 444600.2.a.di

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

Elliptic curves in class 444600.di

Copy content sage:E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
444600.di1 444600di1 \([0, 0, 0, -16962673575, -850334086079125]\) \(-2961686524287311350789156096/139506818115234375\) \(-25425117601501464843750000\) \([]\) \(468910080\) \(4.3530\) \(\Gamma_0(N)\)-optimal