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SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 8050.s
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
8050.s1 | 8050u1 | \([1, 0, 0, -963, 27617]\) | \(-158034076225/438790688\) | \(-274244180000\) | \([]\) | \(9600\) | \(0.88202\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 8050.s1 has rank \(1\).
Complex multiplication
The elliptic curves in class 8050.s do not have complex multiplication.Modular form 8050.2.a.s
sage: E.q_eigenform(10)