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SageMath
E = EllipticCurve("p1")
E.isogeny_class()
Elliptic curves in class 93600p
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
93600.eg1 | 93600p1 | \([0, 0, 0, 27000, 1350000]\) | \(13824/13\) | \(-2047032000000000\) | \([]\) | \(399360\) | \(1.6251\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 93600p1 has rank \(1\).
Complex multiplication
The elliptic curves in class 93600p do not have complex multiplication.Modular form 93600.2.a.p
sage: E.q_eigenform(10)