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SageMath
E = EllipticCurve("bz1")
E.isogeny_class()
Elliptic curves in class 351975bz
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
351975.bz1 | 351975bz1 | \([0, 1, 1, -3008, 578519]\) | \(-4096/195\) | \(-143342918671875\) | \([]\) | \(2052864\) | \(1.3964\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 351975bz1 has rank \(0\).
Complex multiplication
The elliptic curves in class 351975bz do not have complex multiplication.Modular form 351975.2.a.bz
sage: E.q_eigenform(10)