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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 234416.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
234416.a1 | 234416a1 | \([0, 0, 0, 14, -6965]\) | \(387072/26730899\) | \(-20957024816\) | \([]\) | \(290304\) | \(0.65937\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 234416.a1 has rank \(1\).
Complex multiplication
The elliptic curves in class 234416.a do not have complex multiplication.Modular form 234416.2.a.a
sage: E.q_eigenform(10)