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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 1452b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
1452.a1 | 1452b1 | \([0, -1, 0, 4, 24]\) | \(176/9\) | \(-278784\) | \([]\) | \(144\) | \(-0.27544\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 1452b1 has rank \(1\).
Complex multiplication
The elliptic curves in class 1452b do not have complex multiplication.Modular form 1452.2.a.b
sage: E.q_eigenform(10)