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SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 8619.l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
8619.l1 | 8619e1 | \([0, -1, 1, -4, 15]\) | \(-53248/459\) | \(-77571\) | \([]\) | \(1512\) | \(-0.37913\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 8619.l1 has rank \(0\).
Complex multiplication
The elliptic curves in class 8619.l do not have complex multiplication.Modular form 8619.2.a.l
sage: E.q_eigenform(10)