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Properties

Label 433200r
Number of curves $1$
Conductor $433200$
CM no
Rank $0$

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Show commands: SageMath
Copy content sage:E = EllipticCurve("r1") E.isogeny_class()
 

Rank

Copy content sage:E.rank()
 

The elliptic curve 433200r1 has rank \(0\).

Complex multiplication

The elliptic curves in class 433200r do not have complex multiplication.

Modular form 433200.2.a.r

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

Elliptic curves in class 433200r

Copy content sage:E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
433200.r1 433200r1 \([0, -1, 0, -3008, -38373]\) \(160000/57\) \(1072646086800\) \([]\) \(552960\) \(1.0094\) \(\Gamma_0(N)\)-optimal