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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 229320.c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
229320.c1 | 229320cs1 | \([0, 0, 0, -2058, -103243]\) | \(-387072/1625\) | \(-4046890302000\) | \([]\) | \(467712\) | \(1.1042\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 229320.c1 has rank \(0\).
Complex multiplication
The elliptic curves in class 229320.c do not have complex multiplication.Modular form 229320.2.a.c
sage: E.q_eigenform(10)