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SageMath
E = EllipticCurve("ba1")
E.isogeny_class()
Elliptic curves in class 304200ba
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
304200.ba1 | 304200ba1 | \([0, 0, 0, -65910, 7568665]\) | \(-133120/27\) | \(-6422411112577200\) | \([]\) | \(1437696\) | \(1.7557\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 304200ba1 has rank \(0\).
Complex multiplication
The elliptic curves in class 304200ba do not have complex multiplication.Modular form 304200.2.a.ba
sage: E.q_eigenform(10)