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SageMath
E = EllipticCurve("k1")
E.isogeny_class()
Elliptic curves in class 27930k
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 27930.q1 | 27930k1 | \([1, 1, 0, -2622, -384516]\) | \(-830784514441/25970625000\) | \(-62355470625000\) | \([]\) | \(98784\) | \(1.3274\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 27930k1 has rank \(0\).
Complex multiplication
The elliptic curves in class 27930k do not have complex multiplication.Modular form 27930.2.a.k
sage: E.q_eigenform(10)