Properties

Label 68800r
Number of curves $1$
Conductor $68800$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("r1")
 
E.isogeny_class()
 

Elliptic curves in class 68800r

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
68800.p1 68800r1 \([0, 1, 0, -33, -31937]\) \(-2/215\) \(-440320000000\) \([]\) \(86016\) \(0.91312\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 68800r1 has rank \(1\).

Complex multiplication

The elliptic curves in class 68800r do not have complex multiplication.

Modular form 68800.2.a.r

sage: E.q_eigenform(10)
 
\(q - 2 q^{3} - 3 q^{7} + q^{9} + 2 q^{11} - q^{13} + 6 q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display