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SageMath
E = EllipticCurve("bg1")
E.isogeny_class()
Elliptic curves in class 121242.bg
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
121242.bg1 | 121242bg1 | \([1, 0, 0, -844, 11408]\) | \(-49958012987/13851648\) | \(-18436543488\) | \([]\) | \(92160\) | \(0.68552\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 121242.bg1 has rank \(1\).
Complex multiplication
The elliptic curves in class 121242.bg do not have complex multiplication.Modular form 121242.2.a.bg
sage: E.q_eigenform(10)