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SageMath
E = EllipticCurve("de1")
E.isogeny_class()
Elliptic curves in class 230384.de
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 230384.de1 | 230384de1 | \([0, 0, 0, 51788, -19288852]\) | \(33869988864/374006171\) | \(-169619135053550336\) | \([]\) | \(2949120\) | \(1.9870\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 230384.de1 has rank \(0\).
Complex multiplication
The elliptic curves in class 230384.de do not have complex multiplication.Modular form 230384.2.a.de
sage: E.q_eigenform(10)