Properties

Label 7360.h
Number of curves $1$
Conductor $7360$
CM no
Rank $1$

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

Elliptic curves in class 7360.h

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
7360.h1 7360s1 \([0, -1, 0, -41, -95]\) \(-7626496/575\) \(-588800\) \([]\) \(768\) \(-0.14448\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 7360.h1 has rank \(1\).

Complex multiplication

The elliptic curves in class 7360.h do not have complex multiplication.

Modular form 7360.2.a.h

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{5} + 2 q^{7} - 2 q^{9} - 4 q^{11} - q^{13} + q^{15} - 4 q^{19} + O(q^{20})\) Copy content Toggle raw display