Label 93600cf
Number of curves $1$
Conductor $93600$
CM no
Rank $1$

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Show commands: SageMath
sage: E = EllipticCurve("cf1")
sage: E.isogeny_class()

Elliptic curves in class 93600cf

sage: E.isogeny_class().curves
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
93600.z1 93600cf1 \([0, 0, 0, -176700, -28647200]\) \(-326938350400/767637\) \(-1432594874880000\) \([]\) \(737280\) \(1.7885\) \(\Gamma_0(N)\)-optimal


sage: E.rank()

The elliptic curve 93600cf1 has rank \(1\).

Complex multiplication

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

Modular form

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