Properties

Label 485100.in
Number of curves $1$
Conductor $485100$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("in1")
 
E.isogeny_class()
 

Elliptic curves in class 485100.in

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
485100.in1 485100in1 \([0, 0, 0, -235200, 402608500]\) \(-205520896/9882675\) \(-69191730600300000000\) \([]\) \(9953280\) \(2.4869\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 485100.in1 has rank \(0\).

Complex multiplication

The elliptic curves in class 485100.in do not have complex multiplication.

Modular form 485100.2.a.in

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