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SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 166410.s
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
166410.s1 | 166410ck1 | \([1, -1, 0, -402504, 176062040]\) | \(-31347/40\) | \(-9202353842560819320\) | \([]\) | \(3900960\) | \(2.3320\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 166410.s1 has rank \(0\).
Complex multiplication
The elliptic curves in class 166410.s do not have complex multiplication.Modular form 166410.2.a.s
sage: E.q_eigenform(10)