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SageMath
E = EllipticCurve("k1")
E.isogeny_class()
Elliptic curves in class 29400.k
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
29400.k1 | 29400cv1 | \([0, -1, 0, -1388, -20943]\) | \(-6288640/567\) | \(-26682793200\) | \([]\) | \(18432\) | \(0.74380\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 29400.k1 has rank \(1\).
Complex multiplication
The elliptic curves in class 29400.k do not have complex multiplication.Modular form 29400.2.a.k
sage: E.q_eigenform(10)