Show commands:
SageMath
E = EllipticCurve("ba1")
E.isogeny_class()
Elliptic curves in class 40310.ba
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
40310.ba1 | 40310w1 | \([1, 0, 0, -2025935, -1110175303]\) | \(-919602720982617332649841/95909312278040000\) | \(-95909312278040000\) | \([]\) | \(612864\) | \(2.2906\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 40310.ba1 has rank \(1\).
Complex multiplication
The elliptic curves in class 40310.ba do not have complex multiplication.Modular form 40310.2.a.ba
sage: E.q_eigenform(10)