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SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 185020.s
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
185020.s1 | 185020s1 | \([0, 0, 0, -195112, 275132309]\) | \(-102629376/4026275\) | \(-32226074021512804400\) | \([]\) | \(6264000\) | \(2.4234\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 185020.s1 has rank \(0\).
Complex multiplication
The elliptic curves in class 185020.s do not have complex multiplication.Modular form 185020.2.a.s
sage: E.q_eigenform(10)