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SageMath
E = EllipticCurve("cq1")
E.isogeny_class()
Elliptic curves in class 206310cq
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
206310.h1 | 206310cq1 | \([1, 1, 0, -1289448, -1342272192]\) | \(-3027701450569/8178892800\) | \(-640497153675676876800\) | \([]\) | \(13203840\) | \(2.6798\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 206310cq1 has rank \(1\).
Complex multiplication
The elliptic curves in class 206310cq do not have complex multiplication.Modular form 206310.2.a.cq
sage: E.q_eigenform(10)