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SageMath
E = EllipticCurve("o1")
E.isogeny_class()
Elliptic curves in class 141512.o
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
141512.o1 | 141512g1 | \([0, -1, 0, -288920, 55601113]\) | \(12544\) | \(212628751198389904\) | \([]\) | \(1206576\) | \(2.0683\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 141512.o1 has rank \(0\).
Complex multiplication
The elliptic curves in class 141512.o do not have complex multiplication.Modular form 141512.2.a.o
sage: E.q_eigenform(10)