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SageMath
E = EllipticCurve("ba1")
E.isogeny_class()
Elliptic curves in class 53900ba
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 53900.s1 | 53900ba1 | \([0, 0, 0, -84917000, 285999402500]\) | \(5755981643735040/327520882997\) | \(3853250436371405300000000\) | \([]\) | \(6048000\) | \(3.4720\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 53900ba1 has rank \(0\).
Complex multiplication
The elliptic curves in class 53900ba do not have complex multiplication.Modular form 53900.2.a.ba
sage: E.q_eigenform(10)