Properties

Label 402930.o
Number of curves $1$
Conductor $402930$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("o1")
 
E.isogeny_class()
 

Elliptic curves in class 402930.o

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
402930.o1 402930o1 \([1, -1, 0, -890280, 322561696]\) \(60425492474521/212747040\) \(274755987659561760\) \([]\) \(5529600\) \(2.2084\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 402930.o1 has rank \(1\).

Complex multiplication

The elliptic curves in class 402930.o do not have complex multiplication.

Modular form 402930.2.a.o

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} - q^{5} - q^{7} - q^{8} + q^{10} + 3 q^{13} + q^{14} + q^{16} + 3 q^{17} + O(q^{20})\) Copy content Toggle raw display