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SageMath
E = EllipticCurve("o1")
E.isogeny_class()
Elliptic curves in class 331200.o
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
331200.o1 | 331200o1 | \([0, 0, 0, -1260, 30320]\) | \(-10001880/12167\) | \(-269114572800\) | \([]\) | \(442368\) | \(0.88686\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 331200.o1 has rank \(2\).
Complex multiplication
The elliptic curves in class 331200.o do not have complex multiplication.Modular form 331200.2.a.o
sage: E.q_eigenform(10)