Show commands:
SageMath
E = EllipticCurve("o1")
E.isogeny_class()
Elliptic curves in class 418950.o
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
418950.o1 | 418950o1 | \([1, -1, 0, -1053117, -452357109]\) | \(-7025284375/747954\) | \(-13751966156491788750\) | \([]\) | \(13934592\) | \(2.4109\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 418950.o1 has rank \(1\).
Complex multiplication
The elliptic curves in class 418950.o do not have complex multiplication.Modular form 418950.2.a.o
sage: E.q_eigenform(10)