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SageMath
E = EllipticCurve("k1")
E.isogeny_class()
Elliptic curves in class 33150k
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
33150.h1 | 33150k1 | \([1, 1, 0, -42075, 3412125]\) | \(-21088815109465/804256128\) | \(-314162550000000\) | \([]\) | \(188160\) | \(1.5516\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 33150k1 has rank \(0\).
Complex multiplication
The elliptic curves in class 33150k do not have complex multiplication.Modular form 33150.2.a.k
sage: E.q_eigenform(10)