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SageMath
E = EllipticCurve("oz1")
E.isogeny_class()
Elliptic curves in class 478800.oz
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
478800.oz1 | 478800oz1 | \([0, 0, 0, -121969875, 518477071250]\) | \(-172041783999846385/1179967488\) | \(-1376314078003200000000\) | \([]\) | \(50319360\) | \(3.2368\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 478800.oz1 has rank \(0\).
Complex multiplication
The elliptic curves in class 478800.oz do not have complex multiplication.Modular form 478800.2.a.oz
sage: E.q_eigenform(10)