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SageMath
E = EllipticCurve("en1")
E.isogeny_class()
Elliptic curves in class 176400.en
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
176400.en1 | 176400u1 | \([0, 0, 0, -1110529875, 14254318111250]\) | \(-1103770289367265/891813888\) | \(-122379868524301516800000000\) | \([]\) | \(105062400\) | \(3.9354\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 176400.en1 has rank \(1\).
Complex multiplication
The elliptic curves in class 176400.en do not have complex multiplication.Modular form 176400.2.a.en
sage: E.q_eigenform(10)