Properties

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

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Show commands: SageMath
sage: E = EllipticCurve("bn1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 51600.bn

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
51600.bn1 51600cl1 \([0, -1, 0, -103208, -13235088]\) \(-75988526665/3566592\) \(-5706547200000000\) \([]\) \(345600\) \(1.7864\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 51600.bn1 has rank \(0\).

Complex multiplication

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

Modular form 51600.2.a.bn

sage: E.q_eigenform(10)
 
\(q - q^{3} + 2q^{7} + q^{9} + 3q^{11} + q^{13} + 2q^{17} + 8q^{19} + O(q^{20})\)  Toggle raw display