Properties

Label 88200.q
Number of curves $1$
Conductor $88200$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("q1")
 
E.isogeny_class()
 

Elliptic curves in class 88200.q

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
88200.q1 88200ht1 \([0, 0, 0, -3675, 46550]\) \(2450\) \(2240421120000\) \([]\) \(117504\) \(1.0674\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 88200.q1 has rank \(0\).

Complex multiplication

The elliptic curves in class 88200.q do not have complex multiplication.

Modular form 88200.2.a.q

sage: E.q_eigenform(10)
 
\(q - 4 q^{11} - 2 q^{13} + 3 q^{17} + O(q^{20})\) Copy content Toggle raw display