Show commands:
SageMath
E = EllipticCurve("ip1")
E.isogeny_class()
Elliptic curves in class 382200.ip
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
382200.ip1 | 382200ip1 | \([0, 1, 0, 2037992, -102452512]\) | \(10149078716/5923125\) | \(-546330190770000000000\) | \([]\) | \(10838016\) | \(2.6686\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 382200.ip1 has rank \(1\).
Complex multiplication
The elliptic curves in class 382200.ip do not have complex multiplication.Modular form 382200.2.a.ip
sage: E.q_eigenform(10)