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SageMath
E = EllipticCurve("ck1")
E.isogeny_class()
Elliptic curves in class 51600.ck
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
51600.ck1 | 51600v1 | \([0, 1, 0, -33, -117]\) | \(-640000/387\) | \(-2476800\) | \([]\) | \(7296\) | \(-0.070981\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 51600.ck1 has rank \(0\).
Complex multiplication
The elliptic curves in class 51600.ck do not have complex multiplication.Modular form 51600.2.a.ck
sage: E.q_eigenform(10)