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SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 4600.l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
4600.l1 | 4600n1 | \([0, 1, 0, -608, -6112]\) | \(-19450850/529\) | \(-677120000\) | \([]\) | \(1824\) | \(0.47592\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 4600.l1 has rank \(0\).
Complex multiplication
The elliptic curves in class 4600.l do not have complex multiplication.Modular form 4600.2.a.l
sage: E.q_eigenform(10)