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SageMath
E = EllipticCurve("k1")
E.isogeny_class()
Elliptic curves in class 9702.k
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
9702.k1 | 9702j1 | \([1, -1, 0, -660, -6448]\) | \(-24052806603/360448\) | \(-476872704\) | \([]\) | \(5760\) | \(0.46853\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 9702.k1 has rank \(1\).
Complex multiplication
The elliptic curves in class 9702.k do not have complex multiplication.Modular form 9702.2.a.k
sage: E.q_eigenform(10)