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SageMath
E = EllipticCurve("bb1")
E.isogeny_class()
Elliptic curves in class 59535bb
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
59535.c1 | 59535bb1 | \([0, 0, 1, 1323, 5402]\) | \(995328/625\) | \(-160811476875\) | \([]\) | \(82944\) | \(0.83934\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 59535bb1 has rank \(2\).
Complex multiplication
The elliptic curves in class 59535bb do not have complex multiplication.Modular form 59535.2.a.bb
sage: E.q_eigenform(10)