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SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 45486s
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
45486.g1 | 45486s1 | \([1, -1, 0, -486990, 142525012]\) | \(-48534394252061881/5201058594816\) | \(-1368757389339131904\) | \([]\) | \(975744\) | \(2.2184\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 45486s1 has rank \(0\).
Complex multiplication
The elliptic curves in class 45486s do not have complex multiplication.Modular form 45486.2.a.s
sage: E.q_eigenform(10)