Show commands:
SageMath
E = EllipticCurve("bd1")
E.isogeny_class()
Elliptic curves in class 355740bd
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
355740.bd1 | 355740bd1 | \([0, -1, 0, 21740, 3615592]\) | \(126263984/703125\) | \(-6327547380000000\) | \([]\) | \(2080512\) | \(1.7140\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 355740bd1 has rank \(2\).
Complex multiplication
The elliptic curves in class 355740bd do not have complex multiplication.Modular form 355740.2.a.bd
sage: E.q_eigenform(10)