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SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 59976.s
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
59976.s1 | 59976p1 | \([0, 0, 0, 52332, 157098116]\) | \(721888256/486008019\) | \(-10670853776518220544\) | \([]\) | \(737280\) | \(2.3302\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 59976.s1 has rank \(0\).
Complex multiplication
The elliptic curves in class 59976.s do not have complex multiplication.Modular form 59976.2.a.s
sage: E.q_eigenform(10)