Properties

Label 51600.h
Number of curves $1$
Conductor $51600$
CM no
Rank $0$

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

Elliptic curves in class 51600.h

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
51600.h1 51600m1 \([0, -1, 0, 9988741967, -312100414164563]\) \(27554726454844416496885738496/26465717996184551883676875\) \(-105862871984738207534707500000000\) \([]\) \(151388160\) \(4.8321\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 51600.h1 has rank \(0\).

Complex multiplication

The elliptic curves in class 51600.h do not have complex multiplication.

Modular form 51600.2.a.h

sage: E.q_eigenform(10)
 
\(q - q^{3} - 2q^{7} + q^{9} - 5q^{11} + 5q^{13} - q^{17} + 2q^{19} + O(q^{20})\)  Toggle raw display