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SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 7938.q
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
7938.q1 | 7938bb1 | \([1, -1, 1, -1217, -14255]\) | \(68841801/8192\) | \(23702740992\) | \([]\) | \(11232\) | \(0.72180\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 7938.q1 has rank \(1\).
Complex multiplication
The elliptic curves in class 7938.q do not have complex multiplication.Modular form 7938.2.a.q
sage: E.q_eigenform(10)