Properties

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

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Show commands: SageMath
E = EllipticCurve("s1")
 
E.isogeny_class()
 

Elliptic curves in class 7360.s

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
7360.s1 7360b1 \([0, 1, 0, -41, 95]\) \(-7626496/575\) \(-588800\) \([]\) \(768\) \(-0.14448\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 7360.s1 has rank \(1\).

Complex multiplication

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

Modular form 7360.2.a.s

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