Show commands:
SageMath
E = EllipticCurve("k1")
E.isogeny_class()
Elliptic curves in class 346560k
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
346560.k1 | 346560k1 | \([0, -1, 0, 100599, -50694615]\) | \(1618496/16875\) | \(-1173903877393920000\) | \([]\) | \(4202496\) | \(2.1483\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 346560k1 has rank \(2\).
Complex multiplication
The elliptic curves in class 346560k do not have complex multiplication.Modular form 346560.2.a.k
sage: E.q_eigenform(10)