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SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 1950.s
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
1950.s1 | 1950s1 | \([1, 1, 1, -224763, -43657719]\) | \(-3214683778008145/238496514048\) | \(-93162700800000000\) | \([]\) | \(19320\) | \(2.0049\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 1950.s1 has rank \(0\).
Complex multiplication
The elliptic curves in class 1950.s do not have complex multiplication.Modular form 1950.2.a.s
sage: E.q_eigenform(10)