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SageMath
E = EllipticCurve("ex1")
E.isogeny_class()
Elliptic curves in class 44352.ex
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 44352.ex1 | 44352dg1 | \([0, 0, 0, -53436, -4754808]\) | \(-610325920583424/55240493\) | \(-1527289150464\) | \([]\) | \(122880\) | \(1.3774\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 44352.ex1 has rank \(0\).
Complex multiplication
The elliptic curves in class 44352.ex do not have complex multiplication.Modular form 44352.2.a.ex
sage: E.q_eigenform(10)