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SageMath
E = EllipticCurve("k1")
E.isogeny_class()
Elliptic curves in class 9800.k
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
9800.k1 | 9800t1 | \([0, 1, 0, -20008, 584688]\) | \(2450\) | \(361568318720000\) | \([]\) | \(34272\) | \(1.4911\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 9800.k1 has rank \(1\).
Complex multiplication
The elliptic curves in class 9800.k do not have complex multiplication.Modular form 9800.2.a.k
sage: E.q_eigenform(10)