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SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 361998.l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
361998.l1 | 361998l1 | \([1, -1, 0, -474774858, -60824043181836]\) | \(-117767593035067417/15834697437339648\) | \(-1591368733038117538946293751808\) | \([]\) | \(519168000\) | \(4.4746\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 361998.l1 has rank \(0\).
Complex multiplication
The elliptic curves in class 361998.l do not have complex multiplication.Modular form 361998.2.a.l
sage: E.q_eigenform(10)