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SageMath
E = EllipticCurve("de1")
E.isogeny_class()
Elliptic curves in class 369600.de
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 369600.de1 | 369600de1 | \([0, -1, 0, -44133, 4112637]\) | \(-37135043584/6847995\) | \(-1753086720000000\) | \([]\) | \(2211840\) | \(1.6497\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 369600.de1 has rank \(0\).
Complex multiplication
The elliptic curves in class 369600.de do not have complex multiplication.Modular form 369600.2.a.de
sage: E.q_eigenform(10)