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SageMath
E = EllipticCurve("cq1")
E.isogeny_class()
Elliptic curves in class 230640.cq
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
230640.cq1 | 230640cq1 | \([0, 1, 0, -221952880, -1382567203372]\) | \(-360187951921/37500000\) | \(-125894904880251033600000000\) | \([]\) | \(107136000\) | \(3.7473\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 230640.cq1 has rank \(1\).
Complex multiplication
The elliptic curves in class 230640.cq do not have complex multiplication.Modular form 230640.2.a.cq
sage: E.q_eigenform(10)