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SageMath
E = EllipticCurve("z1")
E.isogeny_class()
Elliptic curves in class 72128z
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
72128.b1 | 72128z1 | \([0, 0, 0, -196, -2744]\) | \(-6912/23\) | \(-2770869248\) | \([]\) | \(55296\) | \(0.49812\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 72128z1 has rank \(1\).
Complex multiplication
The elliptic curves in class 72128z do not have complex multiplication.Modular form 72128.2.a.z
sage: E.q_eigenform(10)