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SageMath
E = EllipticCurve("p1")
E.isogeny_class()
Elliptic curves in class 453152p
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
453152.p1 | 453152p1 | \([0, -1, 0, -4720, 173048]\) | \(-668168/343\) | \(-5971042520576\) | \([]\) | \(663552\) | \(1.1561\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 453152p1 has rank \(1\).
Complex multiplication
The elliptic curves in class 453152p do not have complex multiplication.Modular form 453152.2.a.p
sage: E.q_eigenform(10)