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SageMath
E = EllipticCurve("ct1")
E.isogeny_class()
Elliptic curves in class 40656.ct
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
40656.ct1 | 40656ch1 | \([0, 1, 0, -51520, -4529164]\) | \(-30515071121161/85766121\) | \(-42507061825536\) | \([]\) | \(165888\) | \(1.4874\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 40656.ct1 has rank \(0\).
Complex multiplication
The elliptic curves in class 40656.ct do not have complex multiplication.Modular form 40656.2.a.ct
sage: E.q_eigenform(10)