Show commands:
SageMath
E = EllipticCurve("be1")
E.isogeny_class()
Elliptic curves in class 355740be
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
355740.be1 | 355740be1 | \([0, -1, 0, -2587020, -1610969688]\) | \(-6052816/45\) | \(-14235682078629285120\) | \([]\) | \(9047808\) | \(2.5061\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 355740be1 has rank \(0\).
Complex multiplication
The elliptic curves in class 355740be do not have complex multiplication.Modular form 355740.2.a.be
sage: E.q_eigenform(10)