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SageMath
E = EllipticCurve("ci1")
E.isogeny_class()
Elliptic curves in class 43120ci
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
43120.b1 | 43120ci1 | \([0, 0, 0, -31507, 225106]\) | \(351716516361/201313750\) | \(1979819269120000\) | \([]\) | \(391680\) | \(1.6249\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 43120ci1 has rank \(2\).
Complex multiplication
The elliptic curves in class 43120ci do not have complex multiplication.Modular form 43120.2.a.ci
sage: E.q_eigenform(10)