Show commands:
SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 18928s
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
18928.d1 | 18928s1 | \([0, 0, 0, 8957, 549250]\) | \(4019679/8918\) | \(-176314296983552\) | \([]\) | \(145152\) | \(1.4178\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 18928s1 has rank \(0\).
Complex multiplication
The elliptic curves in class 18928s do not have complex multiplication.Modular form 18928.2.a.s
sage: E.q_eigenform(10)