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SageMath
E = EllipticCurve("ek1")
E.isogeny_class()
Elliptic curves in class 93600ek
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
93600.bd1 | 93600ek1 | \([0, 0, 0, -75000, 7850000]\) | \(1600000/13\) | \(379080000000000\) | \([]\) | \(518400\) | \(1.6243\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 93600ek1 has rank \(0\).
Complex multiplication
The elliptic curves in class 93600ek do not have complex multiplication.Modular form 93600.2.a.ek
sage: E.q_eigenform(10)