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SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 209484s
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 209484.z1 | 209484s1 | \([0, 0, 0, -1662985560, 968082896785124]\) | \(-34801580274688000/27682340832837603\) | \(-404569364488293048444753492978432\) | \([]\) | \(468449280\) | \(4.9357\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 209484s1 has rank \(1\).
Complex multiplication
The elliptic curves in class 209484s do not have complex multiplication.Modular form 209484.2.a.s
sage: E.q_eigenform(10)