Properties

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

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

Elliptic curves in class 7200.h

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
7200.h1 7200x1 \([0, 0, 0, -165000, 25810000]\) \(-425920000/243\) \(-283435200000000\) \([]\) \(38400\) \(1.7195\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 7200.h1 has rank \(1\).

Complex multiplication

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

Modular form 7200.2.a.h

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