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SageMath
E = EllipticCurve("p1")
E.isogeny_class()
Elliptic curves in class 163254.p
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
163254.p1 | 163254de1 | \([1, 1, 0, 4926178, -1307201748]\) | \(95900385376991/60869441304\) | \(-8391369377860667931096\) | \([]\) | \(9603360\) | \(2.8958\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 163254.p1 has rank \(0\).
Complex multiplication
The elliptic curves in class 163254.p do not have complex multiplication.Modular form 163254.2.a.p
sage: E.q_eigenform(10)