Properties

Label 100800oc
Number of curves $1$
Conductor $100800$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("oc1")
 
E.isogeny_class()
 

Elliptic curves in class 100800oc

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
100800.pp1 100800oc1 \([0, 0, 0, -370800, 89532000]\) \(-30211716096/1071875\) \(-200037600000000000\) \([]\) \(1290240\) \(2.0921\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 100800oc1 has rank \(0\).

Complex multiplication

The elliptic curves in class 100800oc do not have complex multiplication.

Modular form 100800.2.a.oc

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