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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 37200b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
37200.j1 | 37200b1 | \([0, -1, 0, -288, 2592]\) | \(-51777170/22599\) | \(-1157068800\) | \([]\) | \(16128\) | \(0.44636\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 37200b1 has rank \(1\).
Complex multiplication
The elliptic curves in class 37200b do not have complex multiplication.Modular form 37200.2.a.b
sage: E.q_eigenform(10)