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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 33640.d
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 33640.d1 | 33640i1 | \([0, 1, 0, -235760, 21349408]\) | \(1414562/625\) | \(640315408590080000\) | \([]\) | \(389760\) | \(2.1125\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 33640.d1 has rank \(0\).
Complex multiplication
The elliptic curves in class 33640.d do not have complex multiplication.Modular form 33640.2.a.d
sage: E.q_eigenform(10)