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SageMath
E = EllipticCurve("k1")
E.isogeny_class()
Elliptic curves in class 150075.k
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
150075.k1 | 150075i1 | \([0, 0, 1, -160500, -58406094]\) | \(-1605688360960/4245807843\) | \(-1209060124041796875\) | \([]\) | \(1305600\) | \(2.1572\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 150075.k1 has rank \(1\).
Complex multiplication
The elliptic curves in class 150075.k do not have complex multiplication.Modular form 150075.2.a.k
sage: E.q_eigenform(10)