Label 29400cm
Number of curves $1$
Conductor $29400$
CM no
Rank $1$

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Show commands for: SageMath
sage: E = EllipticCurve("cm1")
sage: E.isogeny_class()

Elliptic curves in class 29400cm

sage: E.isogeny_class().curves
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
29400.bc1 29400cm1 [0, -1, 0, 17967, 1066437] [] 101376 \(\Gamma_0(N)\)-optimal


sage: E.rank()

The elliptic curve 29400cm1 has rank \(1\).

Complex multiplication

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

Modular form

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