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SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 61347s
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
61347.b1 | 61347s1 | \([0, -1, 1, -523618, 147256020]\) | \(-160855552000/1594323\) | \(-157365128285922843\) | \([]\) | \(900432\) | \(2.1191\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 61347s1 has rank \(0\).
Complex multiplication
The elliptic curves in class 61347s do not have complex multiplication.Modular form 61347.2.a.s
sage: E.q_eigenform(10)