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SageMath
E = EllipticCurve("ot1")
E.isogeny_class()
Elliptic curves in class 100800ot
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
100800.gg1 | 100800ot1 | \([0, 0, 0, -25500, 1685000]\) | \(-6288640/567\) | \(-165337200000000\) | \([]\) | \(245760\) | \(1.4714\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 100800ot1 has rank \(0\).
Complex multiplication
The elliptic curves in class 100800ot do not have complex multiplication.Modular form 100800.2.a.ot
sage: E.q_eigenform(10)