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SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 433200.s
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 433200.s1 | 433200s1 | \([0, -1, 0, -6392708, -3213819213]\) | \(3930400000/1666737\) | \(12252048525046406250000\) | \([]\) | \(31104000\) | \(2.9350\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 433200.s1 has rank \(0\).
Complex multiplication
The elliptic curves in class 433200.s do not have complex multiplication.Modular form 433200.2.a.s
sage: E.q_eigenform(10)