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SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 114444.q
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
114444.q1 | 114444c1 | \([0, 0, 0, -5923344, 226464715348]\) | \(-5102271397888/4915446963867\) | \(-22142366578369377250935552\) | \([]\) | \(37158912\) | \(3.5423\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 114444.q1 has rank \(1\).
Complex multiplication
The elliptic curves in class 114444.q do not have complex multiplication.Modular form 114444.2.a.q
sage: E.q_eigenform(10)