Show commands:
SageMath
E = EllipticCurve("bc1")
E.isogeny_class()
Elliptic curves in class 59150bc
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
59150.b1 | 59150bc1 | \([1, -1, 0, -30367, 2209741]\) | \(-1026590625/100352\) | \(-302737460480000\) | \([]\) | \(506880\) | \(1.5196\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 59150bc1 has rank \(1\).
Complex multiplication
The elliptic curves in class 59150bc do not have complex multiplication.Modular form 59150.2.a.bc
sage: E.q_eigenform(10)