Show commands:
SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 7056.i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
7056.i1 | 7056p1 | \([0, 0, 0, -4116, -278516]\) | \(-7168/27\) | \(-29047955989248\) | \([]\) | \(16128\) | \(1.2690\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 7056.i1 has rank \(0\).
Complex multiplication
The elliptic curves in class 7056.i do not have complex multiplication.Modular form 7056.2.a.i
sage: E.q_eigenform(10)