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SageMath
E = EllipticCurve("dc1")
E.isogeny_class()
Elliptic curves in class 11200.dc
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
11200.dc1 | 11200cf1 | \([0, 0, 0, -287500, -64150000]\) | \(-1026590625/100352\) | \(-256901120000000000\) | \([]\) | \(253440\) | \(2.0815\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 11200.dc1 has rank \(0\).
Complex multiplication
The elliptic curves in class 11200.dc do not have complex multiplication.Modular form 11200.2.a.dc
sage: E.q_eigenform(10)