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SageMath
E = EllipticCurve("k1")
E.isogeny_class()
Elliptic curves in class 38646k
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
38646.n1 | 38646k1 | \([1, -1, 0, -1485, 17253]\) | \(496981290961/118720512\) | \(86547253248\) | \([]\) | \(92928\) | \(0.80995\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 38646k1 has rank \(1\).
Complex multiplication
The elliptic curves in class 38646k do not have complex multiplication.Modular form 38646.2.a.k
sage: E.q_eigenform(10)