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SageMath
E = EllipticCurve("ci1")
E.isogeny_class()
Elliptic curves in class 72450.ci
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
72450.ci1 | 72450cd1 | \([1, -1, 0, -8667, -745659]\) | \(-158034076225/438790688\) | \(-199924007220000\) | \([]\) | \(288000\) | \(1.4313\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 72450.ci1 has rank \(0\).
Complex multiplication
The elliptic curves in class 72450.ci do not have complex multiplication.Modular form 72450.2.a.ci
sage: E.q_eigenform(10)