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SageMath
E = EllipticCurve("bg1")
E.isogeny_class()
Elliptic curves in class 363726bg
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
363726.bg1 | 363726bg1 | \([1, -1, 0, -7596, -308016]\) | \(-49958012987/13851648\) | \(-13440240202752\) | \([]\) | \(737280\) | \(1.2348\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 363726bg1 has rank \(1\).
Complex multiplication
The elliptic curves in class 363726bg do not have complex multiplication.Modular form 363726.2.a.bg
sage: E.q_eigenform(10)