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SageMath
E = EllipticCurve("x1")
E.isogeny_class()
Elliptic curves in class 67600.x
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
67600.x1 | 67600cu1 | \([0, 1, 0, 25632, -128972]\) | \(1715\) | \(-1085900735795200\) | \([]\) | \(359424\) | \(1.5745\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 67600.x1 has rank \(1\).
Complex multiplication
The elliptic curves in class 67600.x do not have complex multiplication.Modular form 67600.2.a.x
sage: E.q_eigenform(10)