Properties

Label 85800.b
Number of curves $1$
Conductor $85800$
CM no
Rank $1$

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

Elliptic curves in class 85800.b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
85800.b1 85800cm1 \([0, -1, 0, 292, -1263]\) \(274400000/217503\) \(-2175030000\) \([]\) \(64512\) \(0.47963\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 85800.b1 has rank \(1\).

Complex multiplication

The elliptic curves in class 85800.b do not have complex multiplication.

Modular form 85800.2.a.b

sage: E.q_eigenform(10)
 
\(q - q^{3} - 5 q^{7} + q^{9} + q^{11} + q^{13} + 4 q^{17} - 5 q^{19} + O(q^{20})\) Copy content Toggle raw display