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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 93058d
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 93058.c1 | 93058d1 | \([1, -1, 0, 53122, -20854380]\) | \(2376572103/28274176\) | \(-197233793620143616\) | \([]\) | \(793152\) | \(1.9995\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 93058d1 has rank \(0\).
Complex multiplication
The elliptic curves in class 93058d do not have complex multiplication.Modular form 93058.2.a.d
sage: E.q_eigenform(10)