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

Related objects


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Show commands: SageMath
sage: E = EllipticCurve("by1")
sage: E.isogeny_class()

Elliptic curves in class 93600by

sage: E.isogeny_class().curves
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
93600.o1 93600by1 \([0, 0, 0, 285, 470]\) \(274360/169\) \(-1576972800\) \([]\) \(51840\) \(0.45404\) \(\Gamma_0(N)\)-optimal


sage: E.rank()

The elliptic curve 93600by1 has rank \(1\).

Complex multiplication

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

Modular form

sage: E.q_eigenform(10)
\(q - 4q^{7} + 5q^{11} + q^{13} + q^{17} + 7q^{19} + O(q^{20})\)  Toggle raw display