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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 71058.i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
71058.i1 | 71058o1 | \([1, 0, 0, -7182, -191484]\) | \(40969785846723553/7968464584704\) | \(7968464584704\) | \([]\) | \(201600\) | \(1.1924\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 71058.i1 has rank \(1\).
Complex multiplication
The elliptic curves in class 71058.i do not have complex multiplication.Modular form 71058.2.a.i
sage: E.q_eigenform(10)