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SageMath
E = EllipticCurve("k1")
E.isogeny_class()
Elliptic curves in class 193600k
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
193600.x1 | 193600k1 | \([0, 1, 0, -4033, 93663]\) | \(24200\) | \(299847680000\) | \([]\) | \(221184\) | \(0.96749\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 193600k1 has rank \(2\).
Complex multiplication
The elliptic curves in class 193600k do not have complex multiplication.Modular form 193600.2.a.k
sage: E.q_eigenform(10)