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SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 34914q
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
34914.m1 | 34914q1 | \([1, 0, 1, -414, 3268]\) | \(-14782919881/352836\) | \(-186650244\) | \([]\) | \(16128\) | \(0.37318\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 34914q1 has rank \(2\).
Complex multiplication
The elliptic curves in class 34914q do not have complex multiplication.Modular form 34914.2.a.q
sage: E.q_eigenform(10)