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SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 28322s
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
28322.x1 | 28322s1 | \([1, -1, 1, 2402, 615213]\) | \(1296351/139264\) | \(-164713226051584\) | \([]\) | \(89856\) | \(1.4073\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 28322s1 has rank \(1\).
Complex multiplication
The elliptic curves in class 28322s do not have complex multiplication.Modular form 28322.2.a.s
sage: E.q_eigenform(10)