Show commands:
SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 145794.d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
145794.d1 | 145794bh1 | \([1, 1, 0, -49748, -31303776]\) | \(-571849/17424\) | \(-414887858794523664\) | \([]\) | \(2165760\) | \(2.0610\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 145794.d1 has rank \(1\).
Complex multiplication
The elliptic curves in class 145794.d do not have complex multiplication.Modular form 145794.2.a.d
sage: E.q_eigenform(10)