Properties

Label 29400.o
Number of curves $1$
Conductor $29400$
CM no
Rank $2$

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

Elliptic curves in class 29400.o

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
29400.o1 29400dl1 \([0, -1, 0, 292, 5412]\) \(560/3\) \(-14700000000\) \([]\) \(23040\) \(0.63303\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 29400.o1 has rank \(2\).

Complex multiplication

The elliptic curves in class 29400.o do not have complex multiplication.

Modular form 29400.2.a.o

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{9} - 2 q^{11} - q^{13} - 8 q^{17} - 7 q^{19} + O(q^{20})\) Copy content Toggle raw display