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SageMath
E = EllipticCurve("bg1")
E.isogeny_class()
Elliptic curves in class 190440bg
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
190440.e1 | 190440bg1 | \([0, 0, 0, -958548, 362041252]\) | \(-3525581824/9315\) | \(-257345968409475840\) | \([]\) | \(3244032\) | \(2.2158\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 190440bg1 has rank \(1\).
Complex multiplication
The elliptic curves in class 190440bg do not have complex multiplication.Modular form 190440.2.a.bg
sage: E.q_eigenform(10)