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SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 21175.q
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
21175.q1 | 21175bd1 | \([1, -1, 1, -35355, -1146428]\) | \(36479025/16807\) | \(2251706070604375\) | \([]\) | \(198000\) | \(1.6406\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 21175.q1 has rank \(1\).
Complex multiplication
The elliptic curves in class 21175.q do not have complex multiplication.Modular form 21175.2.a.q
sage: E.q_eigenform(10)