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SageMath
E = EllipticCurve("k1")
E.isogeny_class()
Elliptic curves in class 3267.k
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
3267.k1 | 3267j1 | \([0, 0, 1, -9801, -386323]\) | \(-2985984/121\) | \(-4219225854723\) | \([]\) | \(8640\) | \(1.1904\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 3267.k1 has rank \(1\).
Complex multiplication
The elliptic curves in class 3267.k do not have complex multiplication.Modular form 3267.2.a.k
sage: E.q_eigenform(10)