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SageMath
E = EllipticCurve("p1")
E.isogeny_class()
Elliptic curves in class 42483.p
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
42483.p1 | 42483n1 | \([0, 1, 1, 2728353, 3855124424]\) | \(464027648/1594323\) | \(-7717163209472668015827\) | \([]\) | \(2267460\) | \(2.8828\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 42483.p1 has rank \(0\).
Complex multiplication
The elliptic curves in class 42483.p do not have complex multiplication.Modular form 42483.2.a.p
sage: E.q_eigenform(10)