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SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 4600m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
4600.m1 | 4600m1 | \([0, -1, 0, -208, 1212]\) | \(1562500/23\) | \(14720000\) | \([]\) | \(1536\) | \(0.17860\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 4600m1 has rank \(1\).
Complex multiplication
The elliptic curves in class 4600m do not have complex multiplication.Modular form 4600.2.a.m
sage: E.q_eigenform(10)