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SageMath
E = EllipticCurve("oe1")
E.isogeny_class()
Elliptic curves in class 176400oe
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
176400.dv1 | 176400oe1 | \([0, 0, 0, 5145, -84035]\) | \(1280\) | \(-11767111801200\) | \([]\) | \(258048\) | \(1.1960\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 176400oe1 has rank \(1\).
Complex multiplication
The elliptic curves in class 176400oe do not have complex multiplication.Modular form 176400.2.a.oe
sage: E.q_eigenform(10)