Properties

Label 211600.h
Number of curves $1$
Conductor $211600$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("h1")
 
E.isogeny_class()
 

Elliptic curves in class 211600.h

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
211600.h1 211600b1 \([0, 0, 0, -2702594875, 54167772966250]\) \(-17423038164465/33554432\) \(-4204289008742904627200000000\) \([]\) \(387504000\) \(4.1897\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 211600.h1 has rank \(0\).

Complex multiplication

The elliptic curves in class 211600.h do not have complex multiplication.

Modular form 211600.2.a.h

sage: E.q_eigenform(10)
 
\(q - 3 q^{3} + 4 q^{7} + 6 q^{9} + 3 q^{11} - 6 q^{13} - 2 q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display