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SageMath
E = EllipticCurve("fa1")
E.isogeny_class()
Elliptic curves in class 142800fa
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 142800.bu1 | 142800fa1 | \([0, -1, 0, -728, 22512]\) | \(-417267265/1850688\) | \(-189510451200\) | \([]\) | \(103680\) | \(0.84887\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 142800fa1 has rank \(0\).
Complex multiplication
The elliptic curves in class 142800fa do not have complex multiplication.Modular form 142800.2.a.fa
sage: E.q_eigenform(10)