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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 93600.b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
93600.b1 | 93600cp1 | \([0, 0, 0, -31500, 2160000]\) | \(-2963520/13\) | \(-15163200000000\) | \([]\) | \(307200\) | \(1.3821\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 93600.b1 has rank \(2\).
Complex multiplication
The elliptic curves in class 93600.b do not have complex multiplication.Modular form 93600.2.a.b
sage: E.q_eigenform(10)