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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 4600e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
4600.j1 | 4600e1 | \([0, 1, 0, -8, -2887]\) | \(-256/14375\) | \(-3593750000\) | \([]\) | \(1536\) | \(0.51243\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 4600e1 has rank \(0\).
Complex multiplication
The elliptic curves in class 4600e do not have complex multiplication.Modular form 4600.2.a.e
sage: E.q_eigenform(10)