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SageMath
E = EllipticCurve("o1")
E.isogeny_class()
Elliptic curves in class 433200.o
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
433200.o1 | 433200o1 | \([0, -1, 0, -74080208, 255714558912]\) | \(-23891790625/1181952\) | \(-2224238925588480000000000\) | \([]\) | \(82944000\) | \(3.4331\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 433200.o1 has rank \(1\).
Complex multiplication
The elliptic curves in class 433200.o do not have complex multiplication.Modular form 433200.2.a.o
sage: E.q_eigenform(10)