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SageMath
E = EllipticCurve("bj1")
E.isogeny_class()
Elliptic curves in class 30912.bj
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
30912.bj1 | 30912ci1 | \([0, 1, 0, 582143, -114531841]\) | \(83228502970940543/69854999176704\) | \(-18312068904177893376\) | \([]\) | \(760320\) | \(2.3839\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 30912.bj1 has rank \(0\).
Complex multiplication
The elliptic curves in class 30912.bj do not have complex multiplication.Modular form 30912.2.a.bj
sage: E.q_eigenform(10)