Properties

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

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Show commands: SageMath
sage: E = EllipticCurve("bc1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 93600.bc

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
93600.bc1 93600fd1 \([0, 0, 0, -300, -876800]\) \(-1600/177957\) \(-332110471680000\) \([]\) \(368640\) \(1.4653\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 93600.bc1 has rank \(1\).

Complex multiplication

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

Modular form 93600.2.a.bc

sage: E.q_eigenform(10)
 
\(q - 3q^{7} + 5q^{11} + q^{13} + 5q^{17} - 4q^{19} + O(q^{20})\)  Toggle raw display