Properties

Label 93600.b
Number of curves $1$
Conductor $93600$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("b1")
 
E.isogeny_class()
 

Elliptic curves in class 93600.b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
93600.b1 93600cp1 \([0, 0, 0, -31500, 2160000]\) \(-2963520/13\) \(-15163200000000\) \([]\) \(307200\) \(1.3821\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 93600.b1 has rank \(2\).

Complex multiplication

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

Modular form 93600.2.a.b

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