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SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 422370.s
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
422370.s1 | 422370s1 | \([1, -1, 0, -2438100, 1465970886]\) | \(-6090369270477666841/313278468750\) | \(-82445181342468750\) | \([]\) | \(10056960\) | \(2.3154\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 422370.s1 has rank \(2\).
Complex multiplication
The elliptic curves in class 422370.s do not have complex multiplication.Modular form 422370.2.a.s
sage: E.q_eigenform(10)