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SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 206310.s
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
206310.s1 | 206310bt1 | \([1, 0, 1, -13501549309, 603841163747096]\) | \(-151120718047387272165983/345948408000\) | \(-623105895798087800904000\) | \([]\) | \(218909952\) | \(4.2361\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 206310.s1 has rank \(1\).
Complex multiplication
The elliptic curves in class 206310.s do not have complex multiplication.Modular form 206310.2.a.s
sage: E.q_eigenform(10)