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SageMath
E = EllipticCurve("u1")
E.isogeny_class()
Elliptic curves in class 93600.u
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
93600.u1 | 93600r1 | \([0, 0, 0, 3000, 50000]\) | \(13824/13\) | \(-2808000000000\) | \([]\) | \(133120\) | \(1.0758\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 93600.u1 has rank \(1\).
Complex multiplication
The elliptic curves in class 93600.u do not have complex multiplication.Modular form 93600.2.a.u
sage: E.q_eigenform(10)