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SageMath
E = EllipticCurve("ba1")
E.isogeny_class()
Elliptic curves in class 42483ba
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
42483.q1 | 42483ba1 | \([0, 1, 1, 462593, -268926962]\) | \(464027648/1594323\) | \(-37614249157868794467\) | \([]\) | \(933660\) | \(2.4392\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 42483ba1 has rank \(0\).
Complex multiplication
The elliptic curves in class 42483ba do not have complex multiplication.Modular form 42483.2.a.ba
sage: E.q_eigenform(10)