Show commands:
SageMath
E = EllipticCurve("o1")
E.isogeny_class()
Elliptic curves in class 213444.o
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
213444.o1 | 213444j1 | \([0, 0, 0, 1342438251, 9458447498269]\) | \(110056273881297152/79587574568271\) | \(-193480469147435685662310572016\) | \([]\) | \(193536000\) | \(4.3079\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 213444.o1 has rank \(1\).
Complex multiplication
The elliptic curves in class 213444.o do not have complex multiplication.Modular form 213444.2.a.o
sage: E.q_eigenform(10)