Show commands:
SageMath
E = EllipticCurve("be1")
E.isogeny_class()
Elliptic curves in class 30960.be
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
30960.be1 | 30960l1 | \([0, 0, 0, 49533, 23869474]\) | \(9002230481662/170068359375\) | \(-253910700000000000\) | \([]\) | \(337920\) | \(2.0201\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 30960.be1 has rank \(1\).
Complex multiplication
The elliptic curves in class 30960.be do not have complex multiplication.Modular form 30960.2.a.be
sage: E.q_eigenform(10)