Show commands:
SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 73960.b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
73960.b1 | 73960a1 | \([0, -1, 0, -616, 2538540]\) | \(-2/215\) | \(-2783422577735680\) | \([]\) | \(413952\) | \(1.6424\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 73960.b1 has rank \(0\).
Complex multiplication
The elliptic curves in class 73960.b do not have complex multiplication.Modular form 73960.2.a.b
sage: E.q_eigenform(10)