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SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 96192.s
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
96192.s1 | 96192p1 | \([0, 0, 0, 5748, -462832]\) | \(219804478/1095687\) | \(-104694523232256\) | \([]\) | \(229376\) | \(1.3724\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 96192.s1 has rank \(1\).
Complex multiplication
The elliptic curves in class 96192.s do not have complex multiplication.Modular form 96192.2.a.s
sage: E.q_eigenform(10)