Show commands:
SageMath
E = EllipticCurve("bl1")
E.isogeny_class()
Elliptic curves in class 75712.bl
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
75712.bl1 | 75712bo1 | \([0, 0, 0, -4394, 742586]\) | \(-13824/343\) | \(-232789970236096\) | \([]\) | \(179712\) | \(1.4374\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 75712.bl1 has rank \(1\).
Complex multiplication
The elliptic curves in class 75712.bl do not have complex multiplication.Modular form 75712.2.a.bl
sage: E.q_eigenform(10)