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SageMath
E = EllipticCurve("ba1")
E.isogeny_class()
Elliptic curves in class 51600.ba
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
51600.ba1 | 51600bm1 | \([0, -1, 0, 4167, -303588]\) | \(51200000/282123\) | \(-44081718750000\) | \([]\) | \(103680\) | \(1.3001\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 51600.ba1 has rank \(0\).
Complex multiplication
The elliptic curves in class 51600.ba do not have complex multiplication.Modular form 51600.2.a.ba
sage: E.q_eigenform(10)