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SageMath
E = EllipticCurve("o1")
E.isogeny_class()
Elliptic curves in class 348480o
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
348480.o1 | 348480o1 | \([0, 0, 0, 15972, -2225432]\) | \(2816/15\) | \(-2400270708464640\) | \([]\) | \(1351680\) | \(1.6333\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 348480o1 has rank \(0\).
Complex multiplication
The elliptic curves in class 348480o do not have complex multiplication.Modular form 348480.2.a.o
sage: E.q_eigenform(10)