Show commands:
SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 4200.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
4200.a1 | 4200b1 | \([0, -1, 0, 632, 7837]\) | \(69683121920/110270727\) | \(-44108290800\) | \([]\) | \(3840\) | \(0.72770\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 4200.a1 has rank \(1\).
Complex multiplication
The elliptic curves in class 4200.a do not have complex multiplication.Modular form 4200.2.a.a
sage: E.q_eigenform(10)