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SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 35904.s
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 35904.s1 | 35904i1 | \([0, -1, 0, -7402213, -8181174851]\) | \(-2737717077365028736000/181536283769982867\) | \(-2974290473287399292928\) | \([]\) | \(1720320\) | \(2.8726\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 35904.s1 has rank \(0\).
Complex multiplication
The elliptic curves in class 35904.s do not have complex multiplication.Modular form 35904.2.a.s
sage: E.q_eigenform(10)