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SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 185900s
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
185900.p1 | 185900s1 | \([0, 0, 0, 878800, 185646500]\) | \(1769472/1375\) | \(-58324746551500000000\) | \([]\) | \(4313088\) | \(2.4807\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 185900s1 has rank \(0\).
Complex multiplication
The elliptic curves in class 185900s do not have complex multiplication.Modular form 185900.2.a.s
sage: E.q_eigenform(10)