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SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 2352s
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
2352.o1 | 2352s1 | \([0, 1, 0, 131, 167]\) | \(401408/243\) | \(-149361408\) | \([]\) | \(720\) | \(0.25773\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 2352s1 has rank \(1\).
Complex multiplication
The elliptic curves in class 2352s do not have complex multiplication.Modular form 2352.2.a.s
sage: E.q_eigenform(10)