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SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 4620.l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
4620.l1 | 4620m1 | \([0, 1, 0, -1964205, 1059396975]\) | \(-3273741656681120014336/1733575611796875\) | \(-443795356620000000\) | \([]\) | \(90720\) | \(2.3361\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 4620.l1 has rank \(1\).
Complex multiplication
The elliptic curves in class 4620.l do not have complex multiplication.Modular form 4620.2.a.l
sage: E.q_eigenform(10)