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SageMath
E = EllipticCurve("ci1")
E.isogeny_class()
Elliptic curves in class 16830ci
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
16830.bm1 | 16830ci1 | \([1, -1, 1, 15907, -115473]\) | \(610641930681719/360747465210\) | \(-262984902138090\) | \([]\) | \(74880\) | \(1.4563\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 16830ci1 has rank \(1\).
Complex multiplication
The elliptic curves in class 16830ci do not have complex multiplication.Modular form 16830.2.a.ci
sage: E.q_eigenform(10)