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SageMath
E = EllipticCurve("o1")
E.isogeny_class()
Elliptic curves in class 38025.o
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
38025.o1 | 38025cl1 | \([1, -1, 1, -133880, -28103578]\) | \(-4225/3\) | \(-188435326046101875\) | \([]\) | \(314496\) | \(2.0147\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 38025.o1 has rank \(1\).
Complex multiplication
The elliptic curves in class 38025.o do not have complex multiplication.Modular form 38025.2.a.o
sage: E.q_eigenform(10)