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SageMath
E = EllipticCurve("o1")
E.isogeny_class()
Elliptic curves in class 388416o
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
388416.o1 | 388416o1 | \([0, -1, 0, -102458977, -399831382559]\) | \(-130098552670514/257298363\) | \(-235254706373180664446976\) | \([]\) | \(59222016\) | \(3.3726\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 388416o1 has rank \(1\).
Complex multiplication
The elliptic curves in class 388416o do not have complex multiplication.Modular form 388416.2.a.o
sage: E.q_eigenform(10)