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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 158400.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
158400.a1 | 158400gv1 | \([0, 0, 0, -708750, 229668750]\) | \(-3200601600/121\) | \(-1488526875000000\) | \([]\) | \(1797120\) | \(1.9974\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 158400.a1 has rank \(0\).
Complex multiplication
The elliptic curves in class 158400.a do not have complex multiplication.Modular form 158400.2.a.a
sage: E.q_eigenform(10)