Properties

Label 10800l
Number of curves $1$
Conductor $10800$
CM no
Rank $1$

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

Elliptic curves in class 10800l

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
10800.q1 10800l1 \([0, 0, 0, -2700, 67500]\) \(-3072\) \(-708588000000\) \([]\) \(11520\) \(0.98643\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 10800l1 has rank \(1\).

Complex multiplication

The elliptic curves in class 10800l do not have complex multiplication.

Modular form 10800.2.a.l

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