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SageMath
E = EllipticCurve("cl1")
E.isogeny_class()
Elliptic curves in class 19600.cl
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
19600.cl1 | 19600cd1 | \([0, 0, 0, -245, 1715]\) | \(-34560/7\) | \(-329417200\) | \([]\) | \(6912\) | \(0.35688\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 19600.cl1 has rank \(1\).
Complex multiplication
The elliptic curves in class 19600.cl do not have complex multiplication.Modular form 19600.2.a.cl
sage: E.q_eigenform(10)