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SageMath
E = EllipticCurve("o1")
E.isogeny_class()
Elliptic curves in class 3525.o
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
3525.o1 | 3525o1 | \([0, 1, 1, -458, 3869]\) | \(-5451776/423\) | \(-826171875\) | \([]\) | \(3040\) | \(0.45855\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 3525.o1 has rank \(0\).
Complex multiplication
The elliptic curves in class 3525.o do not have complex multiplication.Modular form 3525.2.a.o
sage: E.q_eigenform(10)