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SageMath
E = EllipticCurve("r1")
E.isogeny_class()
Elliptic curves in class 116610r
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
116610.i1 | 116610r1 | \([1, 1, 0, -1910717, 1068066381]\) | \(-159828070411428769/9757847370960\) | \(-47099265510776066640\) | \([]\) | \(8225280\) | \(2.5296\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 116610r1 has rank \(0\).
Complex multiplication
The elliptic curves in class 116610r do not have complex multiplication.Modular form 116610.2.a.r
sage: E.q_eigenform(10)