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SageMath
E = EllipticCurve("o1")
E.isogeny_class()
Elliptic curves in class 304200.o
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
304200.o1 | 304200o1 | \([0, 0, 0, -39051675, -93212393625]\) | \(44302512384/390625\) | \(58073017149316406250000\) | \([]\) | \(33546240\) | \(3.1915\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 304200.o1 has rank \(0\).
Complex multiplication
The elliptic curves in class 304200.o do not have complex multiplication.Modular form 304200.2.a.o
sage: E.q_eigenform(10)