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SageMath
E = EllipticCurve("ii1")
E.isogeny_class()
Elliptic curves in class 177600ii
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 177600.bf1 | 177600ii1 | \([0, -1, 0, -34133, -2421363]\) | \(-17179869184/44955\) | \(-11508480000000\) | \([]\) | \(460800\) | \(1.3816\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 177600ii1 has rank \(1\).
Complex multiplication
The elliptic curves in class 177600ii do not have complex multiplication.Modular form 177600.2.a.ii
sage: E.q_eigenform(10)