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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 71058c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
71058.a1 | 71058c1 | \([1, 1, 0, -26082, -1584012]\) | \(1962331615744816681/66502247645184\) | \(66502247645184\) | \([]\) | \(271360\) | \(1.4246\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 71058c1 has rank \(1\).
Complex multiplication
The elliptic curves in class 71058c do not have complex multiplication.Modular form 71058.2.a.c
sage: E.q_eigenform(10)