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Properties

Label 435600hi
Number of curves $1$
Conductor $435600$
CM no
Rank $0$

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Show commands: SageMath
Copy content sage:E = EllipticCurve("hi1") E.isogeny_class()
 

Rank

Copy content sage:E.rank()
 

The elliptic curve 435600hi1 has rank \(0\).

Complex multiplication

The elliptic curves in class 435600hi do not have complex multiplication.

Modular form 435600.2.a.hi

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

Elliptic curves in class 435600hi

Copy content sage:E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
435600.hi1 435600hi1 \([0, 0, 0, -523875, 170761250]\) \(-10241915/2187\) \(-3395270260800000000\) \([]\) \(5160960\) \(2.2770\) \(\Gamma_0(N)\)-optimal