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SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 302016s
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 302016.s1 | 302016s1 | \([0, -1, 0, 1327451, 3727542205]\) | \(608740352/14480427\) | \(-6153584369709623328768\) | \([]\) | \(14192640\) | \(2.8612\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 302016s1 has rank \(0\).
Complex multiplication
The elliptic curves in class 302016s do not have complex multiplication.Modular form 302016.2.a.s
sage: E.q_eigenform(10)