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SageMath
E = EllipticCurve("kr1")
E.isogeny_class()
Elliptic curves in class 100800kr
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
100800.pb1 | 100800kr1 | \([0, 0, 0, -305100, -85330800]\) | \(-1947910950/823543\) | \(-1327906559508480000\) | \([]\) | \(1419264\) | \(2.1853\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 100800kr1 has rank \(0\).
Complex multiplication
The elliptic curves in class 100800kr do not have complex multiplication.Modular form 100800.2.a.kr
sage: E.q_eigenform(10)