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SageMath
E = EllipticCurve("o1")
E.isogeny_class()
Elliptic curves in class 15030.o
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
15030.o1 | 15030k1 | \([1, -1, 1, 3238, -53351]\) | \(190804533093/171008000\) | \(-3365950464000\) | \([]\) | \(29952\) | \(1.0911\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 15030.o1 has rank \(1\).
Complex multiplication
The elliptic curves in class 15030.o do not have complex multiplication.Modular form 15030.2.a.o
sage: E.q_eigenform(10)