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SageMath
E = EllipticCurve("k1")
E.isogeny_class()
Elliptic curves in class 310464.k
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 310464.k1 | 310464k1 | \([0, 0, 0, -28812, 192080]\) | \(19208/11\) | \(1514797112328192\) | \([]\) | \(2257920\) | \(1.6025\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 310464.k1 has rank \(0\).
Complex multiplication
The elliptic curves in class 310464.k do not have complex multiplication.Modular form 310464.2.a.k
sage: E.q_eigenform(10)