Show commands:
SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 425.b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
425.b1 | 425c1 | \([1, 0, 0, -3, 2]\) | \(-121945/17\) | \(-425\) | \([]\) | \(12\) | \(-0.76419\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 425.b1 has rank \(1\).
Complex multiplication
The elliptic curves in class 425.b do not have complex multiplication.Modular form 425.2.a.b
sage: E.q_eigenform(10)