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SageMath
E = EllipticCurve("o1")
E.isogeny_class()
Elliptic curves in class 13650.o
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
13650.o1 | 13650r1 | \([1, 1, 0, 175, -375]\) | \(1503815/1092\) | \(-426562500\) | \([]\) | \(5280\) | \(0.34428\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 13650.o1 has rank \(1\).
Complex multiplication
The elliptic curves in class 13650.o do not have complex multiplication.Modular form 13650.2.a.o
sage: E.q_eigenform(10)