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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 111600.f
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 111600.f1 | 111600fq1 | \([0, 0, 0, -511875, -155418750]\) | \(-508660425/63488\) | \(-1851310080000000000\) | \([]\) | \(3041280\) | \(2.2395\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 111600.f1 has rank \(0\).
Complex multiplication
The elliptic curves in class 111600.f do not have complex multiplication.Modular form 111600.2.a.f
sage: E.q_eigenform(10)