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SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 4900.s
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
4900.s1 | 4900s1 | \([0, -1, 0, -1458, 22037]\) | \(-160000\) | \(-2143750000\) | \([]\) | \(2880\) | \(0.62856\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 4900.s1 has rank \(0\).
Complex multiplication
The elliptic curves in class 4900.s do not have complex multiplication.Modular form 4900.2.a.s
sage: E.q_eigenform(10)