Show commands:
SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 235340b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
235340.b1 | 235340b1 | \([0, 0, 0, 53792, 14611252]\) | \(14155776/84035\) | \(-102188802532463360\) | \([]\) | \(4195200\) | \(1.9457\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 235340b1 has rank \(1\).
Complex multiplication
The elliptic curves in class 235340b do not have complex multiplication.Modular form 235340.2.a.b
sage: E.q_eigenform(10)