Show commands:
SageMath
E = EllipticCurve("bm1")
E.isogeny_class()
Elliptic curves in class 334620.bm
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
334620.bm1 | 334620bm1 | \([0, 0, 0, -355143591192, -81462264865579676]\) | \(-32540284515090191935873024/207606891528771075\) | \(-31605020615158251083249589676800\) | \([]\) | \(1667727360\) | \(5.2290\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 334620.bm1 has rank \(1\).
Complex multiplication
The elliptic curves in class 334620.bm do not have complex multiplication.Modular form 334620.2.a.bm
sage: E.q_eigenform(10)