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SageMath
E = EllipticCurve("de1")
E.isogeny_class()
Elliptic curves in class 119952.de
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 119952.de1 | 119952d1 | \([0, 0, 0, 5292, -37044]\) | \(27648/17\) | \(-10077862281984\) | \([]\) | \(138240\) | \(1.1843\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 119952.de1 has rank \(0\).
Complex multiplication
The elliptic curves in class 119952.de do not have complex multiplication.Modular form 119952.2.a.de
sage: E.q_eigenform(10)