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SageMath
E = EllipticCurve("dc1")
E.isogeny_class()
Elliptic curves in class 46200.dc
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
46200.dc1 | 46200bk1 | \([0, 1, 0, -49873, -4303597]\) | \(2143625552081920/693\) | \(4435200\) | \([]\) | \(69888\) | \(1.0737\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 46200.dc1 has rank \(0\).
Complex multiplication
The elliptic curves in class 46200.dc do not have complex multiplication.Modular form 46200.2.a.dc
sage: E.q_eigenform(10)