Properties

Label 72200.l
Number of curves $1$
Conductor $72200$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("l1")
 
E.isogeny_class()
 

Elliptic curves in class 72200.l

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
72200.l1 72200w1 \([0, -1, 0, -3829608, 2885835337]\) \(1462911232\) \(4245890760250000\) \([]\) \(1034208\) \(2.3137\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 72200.l1 has rank \(0\).

Complex multiplication

The elliptic curves in class 72200.l do not have complex multiplication.

Modular form 72200.2.a.l

sage: E.q_eigenform(10)
 
\(q - q^{3} - 2 q^{9} - 4 q^{11} + 5 q^{13} + 5 q^{17} + O(q^{20})\) Copy content Toggle raw display