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SageMath
E = EllipticCurve("de1")
E.isogeny_class()
Elliptic curves in class 229320.de
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 229320.de1 | 229320g1 | \([0, 0, 0, -34167, -19201574]\) | \(-482370434896/17138671875\) | \(-156725887500000000\) | \([]\) | \(1723392\) | \(1.9797\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 229320.de1 has rank \(2\).
Complex multiplication
The elliptic curves in class 229320.de do not have complex multiplication.Modular form 229320.2.a.de
sage: E.q_eigenform(10)