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Properties

Label 431200u
Number of curves $1$
Conductor $431200$
CM no
Rank $0$

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Show commands: SageMath
Copy content sage:E = EllipticCurve("u1") E.isogeny_class()
 

Rank

Copy content sage:E.rank()
 

The elliptic curve 431200u1 has rank \(0\).

Complex multiplication

The elliptic curves in class 431200u do not have complex multiplication.

Modular form 431200.2.a.u

Copy content sage:E.q_eigenform(10)
 
\(q - 2 q^{3} + q^{9} - q^{11} + 5 q^{13} + q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display

Elliptic curves in class 431200u

Copy content sage:E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
431200.u1 431200u1 \([0, 1, 0, -5308333, 4705587963]\) \(3515200000/77\) \(362358920000000000\) \([]\) \(11427840\) \(2.4851\) \(\Gamma_0(N)\)-optimal