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Properties

Label 412200.v
Number of curves $1$
Conductor $412200$
CM no
Rank $0$

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Show commands: SageMath
Copy content sage:E = EllipticCurve("v1") E.isogeny_class()
 

Rank

Copy content sage:E.rank()
 

The elliptic curve 412200.v1 has rank \(0\).

Complex multiplication

The elliptic curves in class 412200.v do not have complex multiplication.

Modular form 412200.2.a.v

Copy content sage:E.q_eigenform(10)
 
\(q + q^{7} - q^{11} + 3 q^{13} - 3 q^{17} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display

Elliptic curves in class 412200.v

Copy content sage:E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
412200.v1 412200v1 \([0, 0, 0, 4417125, -734926250]\) \(16342754821390/9857699109\) \(-5749010120368800000000\) \([]\) \(16220160\) \(2.8645\) \(\Gamma_0(N)\)-optimal