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SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 56350s
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
56350.e1 | 56350s1 | \([1, 0, 1, -1424701, -656702952]\) | \(-811543975/2944\) | \(-1160166201250000000\) | \([]\) | \(1317120\) | \(2.3274\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 56350s1 has rank \(1\).
Complex multiplication
The elliptic curves in class 56350s do not have complex multiplication.Modular form 56350.2.a.s
sage: E.q_eigenform(10)