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SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 96192s
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 96192.f1 | 96192s1 | \([0, 0, 0, -15564, 1150864]\) | \(-2181825073/1731456\) | \(-330886394413056\) | \([]\) | \(344064\) | \(1.4845\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 96192s1 has rank \(1\).
Complex multiplication
The elliptic curves in class 96192s do not have complex multiplication.Modular form 96192.2.a.s
sage: E.q_eigenform(10)