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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 4600.c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
4600.c1 | 4600d1 | \([0, 1, 0, -88, 288]\) | \(2977540/23\) | \(588800\) | \([]\) | \(768\) | \(-0.063904\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 4600.c1 has rank \(1\).
Complex multiplication
The elliptic curves in class 4600.c do not have complex multiplication.Modular form 4600.2.a.c
sage: E.q_eigenform(10)