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SageMath
E = EllipticCurve("op1")
E.isogeny_class()
Elliptic curves in class 176400.op
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
176400.op1 | 176400ga1 | \([0, 0, 0, -215355, 45848810]\) | \(-125768785/30618\) | \(-268901078300467200\) | \([]\) | \(1548288\) | \(2.0629\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 176400.op1 has rank \(0\).
Complex multiplication
The elliptic curves in class 176400.op do not have complex multiplication.Modular form 176400.2.a.op
sage: E.q_eigenform(10)