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Properties

Label 431200.d
Number of curves $1$
Conductor $431200$
CM no
Rank $1$

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Show commands: SageMath
Copy content sage:E = EllipticCurve("d1") E.isogeny_class()
 

Rank

Copy content sage:E.rank()
 

The elliptic curve 431200.d1 has rank \(1\).

Complex multiplication

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

Modular form 431200.2.a.d

Copy content sage:E.q_eigenform(10)
 
\(q - 3 q^{3} + 6 q^{9} - q^{11} - q^{13} - 4 q^{17} + 2 q^{19} + O(q^{20})\) Copy content Toggle raw display

Elliptic curves in class 431200.d

Copy content sage:E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
431200.d1 431200d1 \([0, 0, 0, -523075, -53422250]\) \(343195272/171875\) \(7926601375000000000\) \([]\) \(14321664\) \(2.3192\) \(\Gamma_0(N)\)-optimal