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SageMath
E = EllipticCurve("ij1")
E.isogeny_class()
Elliptic curves in class 100800.ij
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
100800.ij1 | 100800gc1 | \([0, 0, 0, -2587500, -1732050000]\) | \(-1026590625/100352\) | \(-187280916480000000000\) | \([]\) | \(3548160\) | \(2.6308\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 100800.ij1 has rank \(1\).
Complex multiplication
The elliptic curves in class 100800.ij do not have complex multiplication.Modular form 100800.2.a.ij
sage: E.q_eigenform(10)