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SageMath
E = EllipticCurve("z1")
E.isogeny_class()
Elliptic curves in class 179776z
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
179776.m1 | 179776z1 | \([0, -1, 0, -48689, 7868113]\) | \(-35152/53\) | \(-19246467315089408\) | \([]\) | \(1078272\) | \(1.8163\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 179776z1 has rank \(1\).
Complex multiplication
The elliptic curves in class 179776z do not have complex multiplication.Modular form 179776.2.a.z
sage: E.q_eigenform(10)