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SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 5775.l
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 5775.l1 | 5775g1 | \([0, -1, 1, -8593333, -9692467182]\) | \(7186354610687180800/534923296677\) | \(5223860319111328125\) | \([]\) | \(184800\) | \(2.6414\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 5775.l1 has rank \(0\).
Complex multiplication
The elliptic curves in class 5775.l do not have complex multiplication.Modular form 5775.2.a.l
sage: E.q_eigenform(10)