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SageMath
E = EllipticCurve("ci1")
E.isogeny_class()
Elliptic curves in class 189280.ci
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
189280.ci1 | 189280ck1 | \([0, 0, 0, 1352, -35152]\) | \(13824/35\) | \(-691971338240\) | \([]\) | \(449280\) | \(0.95569\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 189280.ci1 has rank \(1\).
Complex multiplication
The elliptic curves in class 189280.ci do not have complex multiplication.Modular form 189280.2.a.ci
sage: E.q_eigenform(10)