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SageMath
E = EllipticCurve("ee1")
E.isogeny_class()
Elliptic curves in class 176400.ee
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
176400.ee1 | 176400lp1 | \([0, 0, 0, -312375, -72244375]\) | \(-6288640/567\) | \(-303933691293750000\) | \([]\) | \(1474560\) | \(2.0978\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 176400.ee1 has rank \(0\).
Complex multiplication
The elliptic curves in class 176400.ee do not have complex multiplication.Modular form 176400.2.a.ee
sage: E.q_eigenform(10)