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SageMath
E = EllipticCurve("k1")
E.isogeny_class()
Elliptic curves in class 25152k
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 25152.bj1 | 25152k1 | \([0, 1, 0, -55105, 4910111]\) | \(70593496254289/824180736\) | \(216054034857984\) | \([]\) | \(96768\) | \(1.5628\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 25152k1 has rank \(0\).
Complex multiplication
The elliptic curves in class 25152k do not have complex multiplication.Modular form 25152.2.a.k
sage: E.q_eigenform(10)