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SageMath
E = EllipticCurve("bz1")
E.isogeny_class()
Elliptic curves in class 329868bz
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
329868.bz1 | 329868bz1 | \([0, 0, 0, -1004304, -15810583628]\) | \(-5102271397888/4915446963867\) | \(-107924177682457535976192\) | \([]\) | \(30191616\) | \(3.0987\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 329868bz1 has rank \(1\).
Complex multiplication
The elliptic curves in class 329868bz do not have complex multiplication.Modular form 329868.2.a.bz
sage: E.q_eigenform(10)