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SageMath
E = EllipticCurve("ci1")
E.isogeny_class()
Elliptic curves in class 40656ci
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
40656.cr1 | 40656ci1 | \([0, 1, 0, -1355845, -606038413]\) | \(313944395776/1240029\) | \(1088762793359560704\) | \([]\) | \(929280\) | \(2.3182\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 40656ci1 has rank \(0\).
Complex multiplication
The elliptic curves in class 40656ci do not have complex multiplication.Modular form 40656.2.a.ci
sage: E.q_eigenform(10)