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SageMath
E = EllipticCurve("o1")
E.isogeny_class()
Elliptic curves in class 3630.o
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
3630.o1 | 3630o1 | \([1, 1, 1, -94806, 11189619]\) | \(439632699649/300000\) | \(64307664300000\) | \([]\) | \(26400\) | \(1.5872\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 3630.o1 has rank \(1\).
Complex multiplication
The elliptic curves in class 3630.o do not have complex multiplication.Modular form 3630.2.a.o
sage: E.q_eigenform(10)