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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 43556a
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 43556.b1 | 43556a1 | \([0, 1, 0, -470514, -124381379]\) | \(719983101328619521792/10889\) | \(174224\) | \([]\) | \(156120\) | \(1.4859\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 43556a1 has rank \(0\).
Complex multiplication
The elliptic curves in class 43556a do not have complex multiplication.Modular form 43556.2.a.a
sage: E.q_eigenform(10)