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SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 81120.s
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
81120.s1 | 81120i1 | \([0, -1, 0, -91485, -19161195]\) | \(-4283098624/5569395\) | \(-110110334609633280\) | \([]\) | \(752640\) | \(1.9630\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 81120.s1 has rank \(0\).
Complex multiplication
The elliptic curves in class 81120.s do not have complex multiplication.Modular form 81120.2.a.s
sage: E.q_eigenform(10)