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Properties

Label 435600.mg
Number of curves $1$
Conductor $435600$
CM no
Rank $1$

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Show commands: SageMath
Copy content sage:E = EllipticCurve("mg1") E.isogeny_class()
 

Rank

Copy content sage:E.rank()
 

The elliptic curve 435600.mg1 has rank \(1\).

Complex multiplication

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

Modular form 435600.2.a.mg

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

Elliptic curves in class 435600.mg

Copy content sage:E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
435600.mg1 435600mg1 \([0, 0, 0, -52716675, -146964446750]\) \(5739907130357378/16142520375\) \(45565298552268000000000\) \([]\) \(37601280\) \(3.2199\) \(\Gamma_0(N)\)-optimal