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SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 116886q
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
116886.l1 | 116886q1 | \([1, 0, 1, -51895330, -156044723980]\) | \(-595911384446123713/60681357950976\) | \(-1573918146539731854360576\) | \([]\) | \(37306368\) | \(3.3828\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 116886q1 has rank \(0\).
Complex multiplication
The elliptic curves in class 116886q do not have complex multiplication.Modular form 116886.2.a.q
sage: E.q_eigenform(10)