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SageMath
E = EllipticCurve("o1")
E.isogeny_class()
Elliptic curves in class 1530.o
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
1530.o1 | 1530n1 | \([1, -1, 1, -92, 361]\) | \(-116930169/170\) | \(-123930\) | \([]\) | \(280\) | \(-0.12066\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 1530.o1 has rank \(0\).
Complex multiplication
The elliptic curves in class 1530.o do not have complex multiplication.Modular form 1530.2.a.o
sage: E.q_eigenform(10)