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SageMath
E = EllipticCurve("k1")
E.isogeny_class()
Elliptic curves in class 29040k
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
29040.c1 | 29040k1 | \([0, -1, 0, 444, 10155]\) | \(2816/15\) | \(-51446131440\) | \([]\) | \(21120\) | \(0.73743\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 29040k1 has rank \(0\).
Complex multiplication
The elliptic curves in class 29040k do not have complex multiplication.Modular form 29040.2.a.k
sage: E.q_eigenform(10)