Properties

Label 85800.a
Number of curves $1$
Conductor $85800$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("a1")
 
E.isogeny_class()
 

Elliptic curves in class 85800.a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
85800.a1 85800l1 \([0, -1, 0, -3249808, 2256932437]\) \(-379574436601074131200/177423879009663\) \(-1774238790096630000\) \([]\) \(2779392\) \(2.4577\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 85800.a1 has rank \(0\).

Complex multiplication

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

Modular form 85800.2.a.a

sage: E.q_eigenform(10)
 
\(q - q^{3} - 5 q^{7} + q^{9} - q^{11} - q^{13} + 2 q^{17} + 7 q^{19} + O(q^{20})\) Copy content Toggle raw display