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SageMath
E = EllipticCurve("ba1")
E.isogeny_class()
Elliptic curves in class 42483.ba
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
42483.ba1 | 42483w1 | \([0, 1, 1, 278500, 39428813]\) | \(841232384/722211\) | \(-2050906527053346291\) | \([]\) | \(663552\) | \(2.2013\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 42483.ba1 has rank \(1\).
Complex multiplication
The elliptic curves in class 42483.ba do not have complex multiplication.Modular form 42483.2.a.ba
sage: E.q_eigenform(10)