Properties

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

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

Elliptic curves in class 29400cm

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
29400.bc1 29400cm1 \([0, -1, 0, 17967, 1066437]\) \(3272428544/4428675\) \(-868020300000000\) \([]\) \(101376\) \(1.5522\) \(\Gamma_0(N)\)-optimal

Rank

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 29400.2.a.cm

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