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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 33488.d
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 33488.d1 | 33488a1 | \([0, 1, 0, -235496009, 1390909566547]\) | \(5642017163771722268092767232/570626054098424597\) | \(146080269849196696832\) | \([]\) | \(4752000\) | \(3.3001\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 33488.d1 has rank \(0\).
Complex multiplication
The elliptic curves in class 33488.d do not have complex multiplication.Modular form 33488.2.a.d
sage: E.q_eigenform(10)