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SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 51600.s
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
51600.s1 | 51600b1 | \([0, -1, 0, 592, 3312]\) | \(1431644/1161\) | \(-18576000000\) | \([]\) | \(26880\) | \(0.65826\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 51600.s1 has rank \(1\).
Complex multiplication
The elliptic curves in class 51600.s do not have complex multiplication.Modular form 51600.2.a.s
sage: E.q_eigenform(10)