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SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 8880.l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
8880.l1 | 8880d1 | \([0, -1, 0, -440, 3792]\) | \(-4610398322/134865\) | \(-276203520\) | \([]\) | \(3456\) | \(0.39864\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 8880.l1 has rank \(1\).
Complex multiplication
The elliptic curves in class 8880.l do not have complex multiplication.Modular form 8880.2.a.l
sage: E.q_eigenform(10)