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SageMath
E = EllipticCurve("bj1")
E.isogeny_class()
Elliptic curves in class 377520bj
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
377520.bj1 | 377520bj1 | \([0, -1, 0, 2667944, 836297200]\) | \(385226073849504061/278469750000000\) | \(-1518154699776000000000\) | \([]\) | \(15966720\) | \(2.7527\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 377520bj1 has rank \(1\).
Complex multiplication
The elliptic curves in class 377520bj do not have complex multiplication.Modular form 377520.2.a.bj
sage: E.q_eigenform(10)