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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 20339.d
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 20339.d1 | 20339d1 | \([1, 0, 1, -906049, -249596537]\) | \(7037694889/1771561\) | \(20706359771987105161\) | \([]\) | \(346752\) | \(2.4163\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 20339.d1 has rank \(0\).
Complex multiplication
The elliptic curves in class 20339.d do not have complex multiplication.Modular form 20339.2.a.d
sage: E.q_eigenform(10)