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SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 4650.s
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
4650.s1 | 4650u1 | \([1, 0, 1, 299, 2048]\) | \(7604375/8928\) | \(-3487500000\) | \([]\) | \(2400\) | \(0.51732\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 4650.s1 has rank \(0\).
Complex multiplication
The elliptic curves in class 4650.s do not have complex multiplication.Modular form 4650.2.a.s
sage: E.q_eigenform(10)