Properties

Label 29400.e
Number of curves $1$
Conductor $29400$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("e1")
 
E.isogeny_class()
 

Elliptic curves in class 29400.e

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
29400.e1 29400dp1 \([0, -1, 0, -260108, -53166588]\) \(-43061200/2187\) \(-98843739130080000\) \([]\) \(451584\) \(2.0215\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 29400.e1 has rank \(0\).

Complex multiplication

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

Modular form 29400.2.a.e

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{9} - 6 q^{11} + 7 q^{13} + 4 q^{17} + 5 q^{19} + O(q^{20})\) Copy content Toggle raw display