Label 93600.s
Number of curves $1$
Conductor $93600$
CM no
Rank $1$

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

Elliptic curves in class 93600.s

sage: E.isogeny_class().curves
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
93600.s1 93600bv1 \([0, 0, 0, -4417500, 3580900000]\) \(-326938350400/767637\) \(-22384294920000000000\) \([]\) \(3686400\) \(2.5932\) \(\Gamma_0(N)\)-optimal


sage: E.rank()

The elliptic curve 93600.s1 has rank \(1\).

Complex multiplication

The elliptic curves in class 93600.s do not have complex multiplication.

Modular form 93600.2.a.s

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