Show commands:
SageMath
E = EllipticCurve("bg1")
E.isogeny_class()
Elliptic curves in class 302330bg
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
302330.bg1 | 302330bg1 | \([1, -1, 1, -33619032, -77214473101]\) | \(-35718324094664888401089/1226817412900798040\) | \(-144333841810365988607960\) | \([]\) | \(39121920\) | \(3.2173\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 302330bg1 has rank \(1\).
Complex multiplication
The elliptic curves in class 302330bg do not have complex multiplication.Modular form 302330.2.a.bg
sage: E.q_eigenform(10)