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SageMath
E = EllipticCurve("nn1")
E.isogeny_class()
Elliptic curves in class 176400nn
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
176400.a1 | 176400nn1 | \([0, 0, 0, -58524375, -179729856250]\) | \(-43061200/2187\) | \(-1125891966028567500000000\) | \([]\) | \(36126720\) | \(3.3756\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 176400nn1 has rank \(1\).
Complex multiplication
The elliptic curves in class 176400nn do not have complex multiplication.Modular form 176400.2.a.nn
sage: E.q_eigenform(10)