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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 160113i
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 160113.h1 | 160113i1 | \([0, -1, 1, 18, 11]\) | \(217088/171\) | \(-480339\) | \([]\) | \(31104\) | \(-0.22185\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 160113i1 has rank \(0\).
Complex multiplication
The elliptic curves in class 160113i do not have complex multiplication.Modular form 160113.2.a.i
sage: E.q_eigenform(10)