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SageMath
E = EllipticCurve("k1")
E.isogeny_class()
Elliptic curves in class 51600k
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
51600.m1 | 51600k1 | \([0, -1, 0, -2708, -71088]\) | \(-878800/387\) | \(-967500000000\) | \([]\) | \(65280\) | \(1.0069\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 51600k1 has rank \(0\).
Complex multiplication
The elliptic curves in class 51600k do not have complex multiplication.Modular form 51600.2.a.k
sage: E.q_eigenform(10)