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SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 109554.q
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
109554.q1 | 109554p1 | \([1, 1, 1, -1687536, -19542953703]\) | \(-623145289729/193076295624\) | \(-164673042080018568458184\) | \([]\) | \(10311840\) | \(3.1340\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 109554.q1 has rank \(0\).
Complex multiplication
The elliptic curves in class 109554.q do not have complex multiplication.Modular form 109554.2.a.q
sage: E.q_eigenform(10)