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SageMath
E = EllipticCurve("o1")
E.isogeny_class()
Elliptic curves in class 1650o
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
1650.l1 | 1650o1 | \([1, 1, 1, -13, 131]\) | \(-390625/12672\) | \(-7920000\) | \([]\) | \(336\) | \(0.0040863\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 1650o1 has rank \(1\).
Complex multiplication
The elliptic curves in class 1650o do not have complex multiplication.Modular form 1650.2.a.o
sage: E.q_eigenform(10)