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SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 249090q
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
249090.q1 | 249090q1 | \([1, 1, 0, -146212, -21589616]\) | \(-7347774183121/3775680\) | \(-177630191974080\) | \([]\) | \(1866240\) | \(1.6857\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 249090q1 has rank \(1\).
Complex multiplication
The elliptic curves in class 249090q do not have complex multiplication.Modular form 249090.2.a.q
sage: E.q_eigenform(10)