Properties

Label 7200.bh
Number of curves $1$
Conductor $7200$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("bh1")
 
E.isogeny_class()
 

Elliptic curves in class 7200.bh

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
7200.bh1 7200bi1 \([0, 0, 0, 15000, 1150000]\) \(12800/27\) \(-787320000000000\) \([]\) \(23040\) \(1.5426\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 7200.bh1 has rank \(1\).

Complex multiplication

The elliptic curves in class 7200.bh do not have complex multiplication.

Modular form 7200.2.a.bh

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