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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 58870i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
58870.c1 | 58870i1 | \([1, 0, 1, -18, 338]\) | \(-841/70\) | \(-49509670\) | \([]\) | \(16800\) | \(0.15611\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 58870i1 has rank \(1\).
Complex multiplication
The elliptic curves in class 58870i do not have complex multiplication.Modular form 58870.2.a.i
sage: E.q_eigenform(10)