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SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 38808l
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 38808.bu1 | 38808l1 | \([0, 0, 0, 358533, 295268463]\) | \(137566156032/1096135733\) | \(-40612885880645531376\) | \([]\) | \(774144\) | \(2.4440\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 38808l1 has rank \(1\).
Complex multiplication
The elliptic curves in class 38808l do not have complex multiplication.Modular form 38808.2.a.l
sage: E.q_eigenform(10)