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SageMath
E = EllipticCurve("ke1")
E.isogeny_class()
Elliptic curves in class 177450.ke
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
177450.ke1 | 177450bg1 | \([1, 0, 0, -1063943, -422785143]\) | \(-1103770289367265/891813888\) | \(-107615382523084800\) | \([]\) | \(4021920\) | \(2.1977\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 177450.ke1 has rank \(0\).
Complex multiplication
The elliptic curves in class 177450.ke do not have complex multiplication.Modular form 177450.2.a.ke
sage: E.q_eigenform(10)