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SageMath
E = EllipticCurve("z1")
E.isogeny_class()
Elliptic curves in class 155298z
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
155298.n1 | 155298z1 | \([1, 0, 1, 17373, -9915182]\) | \(579941390568768983/42818296134332004\) | \(-42818296134332004\) | \([]\) | \(1976832\) | \(1.8709\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 155298z1 has rank \(1\).
Complex multiplication
The elliptic curves in class 155298z do not have complex multiplication.Modular form 155298.2.a.z
sage: E.q_eigenform(10)