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SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 83790.s
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
83790.s1 | 83790u1 | \([1, -1, 0, -1091925, 439448085]\) | \(-82258857972188401/59836320\) | \(-104733246149280\) | \([]\) | \(864000\) | \(2.0015\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 83790.s1 has rank \(0\).
Complex multiplication
The elliptic curves in class 83790.s do not have complex multiplication.Modular form 83790.2.a.s
sage: E.q_eigenform(10)